I might accept a 0.1% false positive rate - but 4% is unconscionable. Yes, trials are messy, but this isn’t a trial - it’s a bad test.

Tbh, your “people are complicated” stance feels like the position of someone who believes they will never be on the wrong side of situations like these. I hope you never are, but I don’t think it’s a position that is defensible if you’re including people who are in groups likely to be subjected to tests like this (e.g. prison inmates)