We can't know much Starmer's intentions as he is happy to backtrack on pledges and tell people want they want to hear. The only thing we can say for sure is firstly he has some natural scepticism about this stuff, because he was only one who refused to sign up to a trans rights charter when running for leadership in 2020 when he was promising everything else under the sun to everyone.
Secondly there are signs that if Starmer becomes convinced that gender stuff is truly electoral poison he will sideline it. Because that is what he has done with anything else which seems like it might lose votes. He is ruthless when he needs to be. I am not saying he is going to do this,just pointing out anyone who has underestimated Starmer's readiness to toss them overboard has found themselves in the water.
At the moment he playing off both sides which is why he is unpopular on Mumsnet and on Reddit. Why because his own shadow cabinet is divided over this.
So what happens in Scotland is vital. If Scottish women can derail the SNP and there are signs they can then there is a real chance Labour will backtrack, while pretending otherwise.
As for voting check the personal position of every candidate in every party in your constituency. No one party can be trusted.