My concern with the position that "we need Labour to sort out the Tories' mess, women's rights are less important than the challenges of just day to day livng" is that Labour will find these problems are hard to fix and there's no easy answers.
So they will look around for "easy" targets to show their supporters they are doing something.
Elevating gender over sex is cheap and easy.
No, I'll rephrase that. Elevating gender over sex is incredibly hard. It involves properly understanding gender and rethinking society from the ground up, changing all our existing structures and most likely creating new versions of at least some single sex provisions that remain necessary and relevant even in a gender-first world.
But elevating gender over sex is cheap and easy if you ignore all the above, have no intention of even acknowledging the impact on female people, let alone doing anything concrete to mitigate it, and think all that is needed is to make it a legal fact that anything that currently says "women only" includes all males who identify as women, no ifs no buts no exceptions.
That way just needs some legal changes...debates and the cost of updating a few legal documents and maybe some signs on a few doors.
No cost to change infrastructure, implement new support services, rethink anything at all, and thanks to these ridiculous tribal "Culture Wars", of huge symbolic value to their noisiest supporters as we are seeing in Liverpool.
Of course they will do it.