You're wrong mate. The Tories won't move on this, there's no upside for them, traditional values and all that. This topic has no traction in the Tory heartlands and very little in their new northern seats. Cummings wants this to rumble on, the economy is going south, there are some tough times ahead for the Tories. Starmer might appear like a boring bank clerk, but he's beginning to look like a safe pair of hands across the dispatch box from the fat fool, so far the Tories haven't been able to lay a glove on him, so they'll want the Labour Party he leads to look like a rag bag collection of identity politics fruit loops, and this is a handy little fire cracker to set off from time to time in the coming culture wars, which if you think about it is all these Tory f**kers have left.
99% of the population might not think this is a big issue, but over 50% of the population are women, an easy win for the Tories would be to frame this as safeguarding women's rights, safe spaces, single sex wards, toilets, changing rooms, women's sport, etc, etc, and so on and so forth, it might play well with the Asian community as well and all they have to do is nothing and watch Starmer swivel, It's a no brainer.