That’s the extreme minority. To keep things simple let’s just say xx one bathroom and xy the other. That encompasses 99.9% of bathroom usage. For the cases you are talking about I’m sure that person can figure out what bathroom to use for themselves and explain it to anyone that asks.
Definitely not true. I don’t really know any crimes that are committed by anyone in my community. I don’t keep track. But I’m sure I walk past some people sometimes that have committed crimes.