Your fundamental logic fail here is to posit that “trans people” and “men” are two entirely separate, discrete groupings. Which is clearly nonsense.
While “trans people” in general can of course encompass people of both sexes, the “trans people” that women are concerned about invading our single sex spaces etc are men. All of them. It’s totally illogical to pretend that they’re a distinct group from men, when men who “identify as women” are clearly just a subset of men.
Adult human males: men, according to UK law, and of course material reality.
And these men are just as likely to abuse, assault and murder women as other men.
Of course not all of them will, just as not all other men will; but statistically theyre just as much of a risk as other men - and they’re proving they’re men who don’t care about violating women’s boundaries (or they even enjoy it) by being in our spaces/services/sports in the first place, a further risk factor. We have absolutely zero reason to make an exception for them or extend any trust to them.
This magical thinking of yours whereby the moment a man proclaims he “identifies as a woman”, he instantly stops being a man and loses all the characteristics associated with being a man and instead acquires all the characteristics associated with being a woman is just extraordinary, and completely divorced from the real world.