Unfortunately this computer filtering step tends to be highly inaccurate and game-able, but I’m not sure what to propose instead.

Game-able, as in, entering specific answers (even if they are inaccurate) gets you through the computer and put in front of a human? Working as intended.

Ever since the social contract was broken with employers where they'd give you a job for decades if you stayed there, there's been an ongoing "arms race" of how job applicants can get noticed, and how employers can get usable candidates out of the massive tidal waves of applicants they get. The first step computer filter doesn't have to be perfect, if it even filters out 80% of the candidate that don't meet basic criteria, leaving only 20% for humans to review that is massively better (to employers) than requiring humans to look at all 100% of applicants.

So yes, its game-able to get through the computer filter, but if you still don't match the basic criteria, you'll be eliminated by the human reviewers anyway. The difference is only very small number of candidates will figure out the game-able answers to get through even if they aren't supposed to. This is...until the next round of the arms race where nearly all candidates are getting through. That hasn't happened yet.