Yeah, these are really hard and though problems.
I usually feel very depressed when I think about it because I do not like the idea that other people have to suffer in that way (wether it is a victim of harassment or abuse, or one of false allegations).
I would argue, however, that false positives are not so low. Especially when there are so many malicious incentives (even if they are not intentional on the part of those who plan, develop or approve this type of measure) to do that, and there are also too many people who are twisted in the world. Sometimes I start to think about why we had to touch such a difficult world, when I realize things like that. The same goes for false negatives, though.