Ahhh yes the 'your toilet at home is gender neutral' response.
Changing rooms in shops are very often just 'secured' with curtains, even when they have doors they are usually not floor to ceiling and have large gaps under and over. There have been many examples of men placing phones beneath the curtain. Back in the good old days a few years ago, these men will have been easily spotted because they weren't allowed in the women's changing rooms so they stood out and would be thrown out. Now no one can question the presence of perverted men because if questioned they just have to say 'how very dare you! This offense and humiliation is literal violence, for I am a very special kind of woman!'
Changing rooms in gyms and older council leisure centres often have NO cubicles, just a big room with some benches and lockers. As a woman you consent to sharing that space with other women because it says on the door that it's the women's changing room. You know because there are no cubicles, that even with careful towel arrangements you are likely to accidentally flash a boob or see someone else's boob, but you accept that because it's all women together. Except when a bloke in a dress gets his cock out and stands watching while you try to get your swimsuit on under the towel.
Bathrooms in shared university accommodation (and general houses) are single use, fully enclosed, lockable spaces, which are used only by the residents of that property and the people they have invited to be there. Toilets in public spaces are used by anyone and everyone, including dirty pervert men you don't know who like to do fun things like stick cameras under the great big gap at the bottom of the door and record unwilling, unconsenting women doing a wee, or changing their tampons.
There are whole categories for this and the changing room videos on Pornhub, it's a common masturbatory aid for other dirty pervert men.
The whole issue isn't that women believe all Transgender people are wrong uns. The issue is how do we know which male person is transgender and which male person is a dirty pervert man?
We all know that men with a desire to hurt women and children will go to extraordinary lengths to put themselves in a position where they have access to hurt them. 8 yrs training to be a doctor or going through priest school (no idea about religion so can't remember what this process is actually called), becoming teachers or social workers, years of volunteering to get prominent positions in food banks, hostels, scouts etc.
Why then is it so hard to believe that they'd skip all of that and just put on a pair of tight jeans, a bit of lipstick and call themselves Sandra if they know it will get them access to all those same places and services without the need for any hard work?