Are you a man? I find your patronising (and clueless) approach maddening in any case, but it’s much, much worse if you’re actually a man telling women to budge over and let men into their female-only spaces.
You, quite obviously, don’t need ‘chromosome-based’ door policies. In the overwhelming majority of cases, human beings can tell someone’s sex.
Yes, yes, we know ‘ha ha trans women have been using women’s loos for ages’ or whatever. But the fact is that they were there on sufferance. No one officially ok’d it and they would almost certainly have left if asked, back before everyone lost their minds.
Society functions by group acceptance of rules; you must know this. Things aren’t policed to the Nth degree every step of the way. If everyone generally agrees it’s not acceptable for men to be in women’s loos, women are reasonably safe in those spaces. If trans activists and useful idiots keep asserting a right to be in women’s loos - guess what? It becomes harder and harder to enforce that boundary.
Can you open your mind for one second just to consider how a woman might feel knowing she will be the one in the wrong if she doesn’t want a six foot man following her into the loos?