Men don't give a shit about who is in their bathroom, in my experience. Women, on the other hand, often stopped and harassed me when I was presenting female but cut my hair short (AFAB).

That's what I usually do. Some people get mad or annoyed with me but I imagine it could be physically dangerous to go into the men's room.

I think I'd disagree there, unless youra woman walking in half undressed i doubt you'd get more than a questioning glance if that, on top of the fact that it seems like a much lower bar to pass as male.

Honestly, short of the Karen type who is looking around for things to get pissed about you probably won't hear much of a fuss in the restrooms themselves on either side, really seems like the butt hurt people are men worried about who's going into the women's room, or women worried about the potential rather than anything that's actually happening in the moment.