For anyone who hasn't joined the dots:
Gender-neutral facilities give men readier access to children, who would otherwise be in the women's facilities with their mothers. (Of course identifying as a woman gives a male the same benefit.)
Gender-neutral facilities are also popular with misogynists, because they obviously disadvantage women, for all the reasons that women may need single-sex spaces.
Why so many councils and other authorities seem unable to grasp this is beyond me. The likeliest reason is too horrible to contemplate.