Many, many years ago I had the privilege of spending a little time in Sydney as a student. There are actually four sea baths in that area. One was/is (?) quite expensive to enter but is mixed-sex. One is free and shallow and usually where children play. Then, at each end of the beach are the women's and the (old) men's baths.
These were built many years ago when mixed bathing was still risque. The women's baths were used by women and by nuns from the local convents. I believe that in later years they were/are also used by Jewish and Islamic women. Many lesbian women also used them as did women with children who wanted some privacy. When I was in Sydney it was amazingly cheap to use the women's baths. The men's baths were (I think) more expensive but included a gym and health treatments, a sauna, and so on. When I was there it was a very homophobic time and it was rumoured that they were the preserve of gay men and a 'pick up' place. They were also in disrepair and the open pool (much bigger than the women's) was open to anyone who did not mind clambering across rocks or down a cliff face to access it.
I think this pool has now been done up and access improved (judging by what is written online).
Thing is, though, that when I was there, the men demanded that in the feminist age of 'equal opportunity' that the women's baths be opened to both sexes. I remember the arguments and the letters to the editor and the petitions. The men's area, once so much better than the humble women's baths, was either off-limits because of homophobia or in disrepair, so men demanded what little women had, sometimes aggressively and sometimes sarcastically. The women who ran the baths at the time (they must have been in their 70s) fiercely defended the women's area against all attacks - and I believe that the nuns from the local convents also had their say.
Men used to storm the baths and whine when they were turned away. Sometimes they entered from the sea below. Some men I knew tried to see the baths from vantage points on the cliffs because women bathed topless.
The point here is that local men have always wanted these baths as theirs - they resent women having anything. The local homophobic men, 'the haw haw I've just made sexist joke men' and the outright misogynists are, I suspect, jumping on the trans bandwagon (these men, I suspect would not really believe that transwomen are women and if the baths were opened up to both sexes they would not be safe spaces for TW) to punish women for the small space of beach that they have to themselves. As far as I know, there are no other women-only spaces on the beaches (a local may correct me of course), but plenty of rampant sexism in the form of harassment if women do bathe/sunbathe on the main beaches.
I loved the women's baths and would have loved to have brought them with me when I came home.