1. Why is restrooms the only place where women need to be huperviligent? There was no force field keeping men out before self I'd. Hell, I've accidentally used a boy bathroom once.
Have you never been in a cubicle? They're not big enough for more than one person. The rest of the restroom has the risk of someone walking in seeing the assault. It's not an intimate place at all.
What capacity for sex recognition? I've accidentally called women and girls by male pronouns since I didn't see that they were female. One's sense of what a male/woman looks like is incredibly influenced by the media.
A better way to make woman and girls safer is push for assault Ed's/rapists to be put on trial and convicted and make public spaces safer; not freak out over self id.