TigersTeeth I agree our gendered society is largely to blame for some of these issues, I'd also suggest for later identifiers that there may be some social contagion going on.
If anyone watched 'The town that caught Tourettes' there is a real sense that people can be affected by the ideas/experiences of others.
"... coupled with her asd-rigid view of the world, which combined to make her believe she couldn't be a girl, because she couldn't meet everyone else's idea of a girl." This is something which, I believe, is so true for 'trans boys'/gender dysphoric girls, many will be on the spectrum.
"... it confuses me when a mainstay of the Gender Critical debate seems to be that women need to be 'protected', as a result of our sex, with 'women-only' spaces." We need protection because women and girls are in danger from predatory males. Little boys can be too which is why I took my son in the loos with me until he absolutely insisted on being able to go in by himself!
"Maybe we should just have small people toilets, and big people toilets." This is a very sensible idea. I would agree in bigger places that this would work. This is how schools work, toilets for kids and other toilets for adults.
"Or nice people toilets and mean people toilets?" That's the issue though isn't it. The not nice people, the mean people, don't identify themselves.
"Or maybe we should just have toilets, and people can police themselves in their use of them?!" That's maybe OK if you are a 6 foot tall strong person, I'm not, I've quite short and not at all strong. So I would like the males to be not in my toilets, in public areas, but I would like unisex/gender neutral fully enclosed toilets for everyone who wants to use them. This would protect trans boys who may not feel comfortable in the 'ladies' but may not be safe in the men's and anyone else who wanted to use them would/could.
"It just seems to me that the vitriol against Trans people seems to vilify the victims of this system, rather than the perpetrators."
If trans activists, not necessarily the same as trans people at all, are arguing that women should not be allowed to have our own spaces away from males, then they are part of the problem and lots of transsexuals actually agree with this.