I doubt the VF-76 will withstand the overload, as it is only intended to protect it from fire or ice, not from any anomaly, because currently any spaceship, regardless of design, would not be able to read everything that is going on around it (mainly because there is no connectivity range there).
Also, not that it’s anything, it’s just stats, so you’ll see them after a successful mission.
Isn’t the singularity environment replacing the time and wave counters with question marks? I don’t think the VF-76 should be resistant to it. You can wait for the wave counter to pop up whenever a new wave starts, and buy a Wave Insight.