Give me strength!
I have no ** idea! It was my friend who took her child swimming. Not me. I wasn't there. I don't live in her town, so I have never visited the pool. I used the incident as an example of how these situations can (and do) arise when there are no sensible rules about what is a man and what is a woman.
It doesn't matter, anyway. A man taking his children swimming could do what my husband did, and use the cubicles, taking the children into his with him, or dressing separately if the family were not inclined to undress in front of one another. There is no need for a man (however he identifies) to be in a female communal changing room.
This is another deflection from the point, which you persistently ignore or divert away from, but is, as Molly says, that transwomen are insisting on their rights over women, that there is a lot of confusion about how far and to what extent people can object to this, and that this is where 'the patriarchy' are asserting their power. When 'women' become a sub-class of 'men' we have no rights, no safe spaces, no sex-specific research that might help us, and we disappear in all sex-based statistics.
This is not about a small number of men who feel that life is unbearable as they want to be women. It is much, much bigger than that, and I am not at all convinced that you don't know this.
I don't presume to know your agenda, but all I can think of is that either you feel backed into a corner and can't accept that your 'right on' support for all minorities has been misplaced, you genuinely see men's rights as more important than women, or you are some sort of plant. Your assertion that your views are somehow part of feminism just don't stack up.