Here’s my comments on mirrored/flipped variations for each wave.
Mirror: Turned sideways.
Flip: Turned Upside Down.
CI3
Asteroids: This would be fine to flip.
Asteroids “No, Really!”: Is there any point to even mirror this wave?
Comet Chase: Defeats the purpose.
Meteor Storm: NO.
Chicken Geometry: Doesn’t make any difference other than confuse the heck out of the player.
Terminator Chickens: Doesn’t really make any difference, or make it any more unique.
CI4
The Next Generation: Doesn’t really make any difference, or make it any more unique.
Chicken Aerial Show: Doesn’t really make any difference, or make it any more unique.
Bad Sector: Doesn’t really make any difference, or make it any more unique.
The Hatchery: Does not make any difference, even if you do flip it or Mirror it.
Omnidirectional Onslaught: This one’s fine.
Chicks ‘n’ Chickens/Chickens ‘n’ Chicks: No point to mirror this one other than confuse the hell out of players.
Spiral Of Doom: CONFUSING.
Chicken Rings/Bubble Rings: Does not make sense to mirror this wave.
The Chicken Wobble/The Bubble Wobble: Doesn’t really make a difference.
Barriers to Success: Pointless.
Swimming in Space: Would you even notice the difference? No difference if you flip it either.
Shape Shifters/Whip into Shape: No point.
Caught by Surprise/Caught Unawares: The wave already mirrors itself. Mirroring it just makes the loop go backwards.
Caught/Trapped in the Crossfire: Mirroring does nothing. Flipping would not make much difference.
Square Dancing: Would it even be any different?
Chicken Vending Machine: People will hate you if this does get flipped. Mirrored makes no difference.
Roundaobout Approach: CONFUSING.
Technological Advances: Does this even need to be mirrored/flipped?
Gyroscope Malfunction: Flipping it does not help. The wave already turns your angle around every now and then.
Bundle o’ Chicks/Chickens: No point.
The Weakest/Strongest Link: Do not flip this.
Chick Loop: I don’t see why this was even mirrored in the first place, other than to make pecking order even harder to get.
Eggshell Fields: Why would you even flip or mirror this???
Chicken Interception: Doesn’t really make any difference, or make it any more unique.
Feather Fields: Doesn’t really make any difference, or make it any more unique.
The Replacements: No difference. Also just makes it even more confusing.
Bullet Spray: NO.
Do not Cross: Do not flip or mirror this either.
Ultimate Square Dancing: Doesn’t really make any difference, or make it any more unique.
Shoot and Scoot/Loot: Doesn’t really make any difference, or make it any more unique.
Enemy Queue/Take a Number: Doesn’t really make any difference, or make it any more unique.
Chicken/Complex Fractals: Not worth flipping or Mirroring.
Fenced In: Sorta worth flipping randomly, to encourage player to not camp in corners.
Chicken Interleaving/Interspersion: Doesn’t really make any difference, or make it any more unique.
Chicken Roulette/Wheel of Fortune: Great. Now everyone’s going to have to be LEFT HANDED to dodge this.
Sweeping Swoop/Swooping Sweep: Doesn’t really make any difference, or make it any more unique. Besides, the latter is already mirrored itself.
Electrifying Descent/Dive: Doesn’t really make any difference, or make it any more unique.
Chicken Fortification: Doesn’t really make any difference, or make it any more unique.
Let the Games Begin/Rematch: Doesn’t really make any difference, or make it any more unique.
Bubble Bath: Great. Now Pecking Order is even more annoying to get.
Egg Cyclone/Enemy Hurricane: People are going to hate you if this gets flipped or Mirrored.
Retro Invaders: No.
Invader Fly-by: Do not.
Invader Crossing: Seriously?
Supernova Debris: Already mirrors itself anyway.
Attack Formations: People will hate you if this gets flipped. Mirrored version is not any different.
Ultimate Extreme Square Dancing: Doesn’t really make any difference, or make it any more unique.
Rolling Ball o’ Chicks: Was a mirrored version of this even necessary? Other than to confuse the player more?
Supply Droids/Line: Doesn’t really make any difference, or make it any more unique.
Surrounded by Droids/Droid Encirclement: No difference other than make you do this like a lefty.
Security/Backup Droid Patrol: Doesn’t really make any difference. Neither does flipping it.
Intercepting Deliveries/Delivery Rerouting: People will hate you for flipping this. Mirroring does not do anything too worth noting.
Droid Highway: Why would you even mirror this??? Let alone flip it?
Droid (Giant) Slalom: No point flipping.
Dazzling Coordination: Doesn’t really make any difference, or make it any more unique.
Three-Ring Circus: Doesn’t really make any difference, or make it any more unique.
CI5
First Impressions: Doesn’t really make any difference, or make it any more unique.
Rectangular/Quadrilateral Layouts: Doesn’t really make any difference, or make it any more unique.
Pedal to the Metal: Not much difference.
Amphitheatrics: People will hate you for the messed up pecking order.
Satellite Fly By: Why would you even…
Surfing the Wave: Doesn’t really make any difference, or make it any more unique.
Caged Animals/The Zoo: Doesn’t really make any difference, or make it any more unique.
Black Hole Skipping/Hopping: Would you really notice any difference or any extra difficulty?
Spin Class/Cycle: Doesn’t really make any difference, except mess with the player’s head.
Interchangeable Parts: Doesn’t really make any difference.
Interdimensional Portals: Wave name should be swapped with Visitors from Another Dimension. Also not worth flipping.
Raise/Bring Down the Curtain: Doesn’t really make any difference, or make it any more unique. People will hate you for messing up pecking order even further.
Taking Turns/Wait your Turn: Doesn’t really make any difference.
Bow Ties/Neckties are Cool: Doesn’t really make any difference, or make it any more unique.
Energy Fences: May I ask what’s even worth making this wave flipped or Mirrored?
Pulsating/Palpitating Grid: Doesn’t really make any difference, or make it any more unique.
Waving in the Breeze: Makes no difference.
Chick Gatling Gun: Thanks for confusing the player on how to start Pecking Order if you mirror/flip this.
Do the Backstroke: Doesn’t really make any difference, or make it any more unique.
Spawning Trouble: Please don’t.
To Infinity And Beyond: Doesn’t really make any difference, or make it any more unique.
Four-Lane Merge: Would you even notice a difference?
Bend/Kick it like Beckhen: Great. Now this wave is dirt easy.
Marching On: Confuses the player for Pecking Order.
Military Parade: Doesn’t really make any difference, or make it any more unique.
Chickenaut Quartet: Doesn’t really make any difference, or make it any more unique.
Centipede: CONFUSING.
Divide and Conquer: Would you even see anything different other than it being upside down or the lasers going from Right to Left?
Cardinality of Four: Doesn’t really make any difference, or make it any more unique.
Heavy Metal: Doesn’t really make any difference, or make it any more unique.
The Magic Flute: I guess flipping this was okay.
Soft in the Middle: Great. More Pecking Order confusion.
Look in All Directions: People will hate you for flipping this.
Weaving Through Traffic: Doesn’t really make any difference except mess with the Player.
Overarching Chickens: Why?
High-Speed Chase: Eh.
Visitors From Another Dimension: Should switch wave names with Interdimensional Portals. Also no point flipping other than to screw with the player’s head.
Chink in the Armor: Doesn’t really make any difference, or make it any more unique.
Wormhole: Doesn’t really make any difference, or make it any more unique.
Chicken Quadrants: Doesn’t really make any difference, or make it any more unique.
Armored Division: Doesn’t really make any difference, or make it any more unique.
Tying Shoelaces: Would you even see any difference?
Lethal Connections: Doesn’t really make any difference, or make it any more unique.
Flower Power: Doesn’t really make any difference, or make it any more unique.
From Cover to Cover: You confuse the heck out of the player.
Three Stroke Engine: Doesn’t really make any difference, or make it any more unique.
Three by Three: Chequerboard Strut/Promenade not good enough for you?
Highly Irregular: Doesn’t really make any difference, or make it any more unique.
Two Squared: Doesn’t really make any difference, or make it any more unique. Also messes up Pecking Order even further.
Nasty Surprise: Doesn’t really make any difference, or make it any more unique.
Concentric Triangles: Only screws up Pecking order.
Egg Billiards: seriously?
CIU
Single Digits: Already mirrors itself.
Double Helix: Already mirrors itself.
The Trash Compactor: Doesn’t really make any difference, or make it any more unique.
Shear Stress/Merry-Go-Round: CONFUSING.
Play Both Sides: Does this even make any difference?
Tangled Mess: Doesn’t really make any difference, or make it any more unique.
Anode-Cathode: Doesn’t really make any difference, or make it any more unique.
Slice of Chicken Pie: Doesn’t really make any difference, or make it any more unique.
On the Radar: CONFUSING.
Windshield Wipers: Doesn’t really make any difference, or make it any more unique.
Under Pressure: People will hate you.
Henn Diagram: Doesn’t really make any difference, or make it any more unique.
Panzer Strike: Doesn’t really make any difference, or make it any more unique.
Portal Gun/Shotgun: Doesn’t really make any difference, or make it any more unique. Also, already mirrors itself.
Berserkers: Doesn’t really make any difference, or make it any more unique.
Go with the Flow: Already mirrors itself.
Chequerboard Strut/Promenade: Already Mirrors itself. One variation cannot be pecking ordered, one variation can.
Chicken Highway: Doesn’t really make any difference, or make it any more unique.
Out of Nowhere: Doesn’t really make any difference, or make it any more unique.
Cloudy With a Chance of Eggs: Already mirrors itself. Also, don’t touch my wave please.
Braided Assault: Already mirrors itself.
Ricochet: Doesn’t really make any difference, or make it any more unique.
Over the Rainbow: Doesn’t really make any difference, or make it any more unique.
Corridor Shooter: Doesn’t really make any difference, or make it any more unique.
The Fortress: Doesn’t really make any difference, or make it any more unique.
Möbius Strip: Doesn’t really make any difference, or make it any more unique.
That’s all the reasons I have to not mirror or flip these waves.