Sez all the ladies I know.
The toilet cubicles are private.
I have no reason to think that's true as one of the themes is how young girls are too often becoming trans. No, I think the greater outrage directed at transwomen is rooted in the idea that it is more shameful for a guy to be womanish than for a girl to be mannish. There also seems to be some sort of horror directed at male parts as though the mere sight of a bare naked penis will scar a lady's brain for life.
It has become socially acceptable to pick on this extremely small, marginalized population, sadly. Too many folk think it's good sport to mock and denigrate these people, to take out aggression on them.
No, you are deflecting his out and out fearmongering. He didn't just say this once or twice, but repeatedly, publicly, proudly. I would say that he knows that this obvious nonsense isn't true, but for some reason, we are supposed to pretend this scenario is not ridiculous. You said before that "There is no fear mongering" - how is this not? He is not the only one who does this.
I'm not buying that rational altogether. For one thing, children at the beginning of puberty are quite different than "children" at the end of adolescence. Old children are allowed to get breast implants and nose jobs. Girls who become pregnant are required in certain states to give birth which can also do permanent damage to their bodies. Boys are encouraged to participate in violent sports like American football which can damage their bodies and brains permanently - and for what? A bit of Friday night glory?
Even non-surgical treatment is now forbidden in many states - social transition, changing names and even pronouns are verboten even though that is obviously not permanent. Best practices as determined by medical professionals are overridden by politicians.