I would like to clarify something here, that many seem unaware of. What Keir Starmer is saying here:
"and wherever we've got to in the law, we need to go further. And we want to go further on that."
Is not a commitment they take lightly, and it is not limited to bringing in self-id.
I engaged with my TWAW Labour MP on this issue before she lost her seat, and she made it very clear that Labour is not satisfied with merely reforming the GRA. They know that self-id without changing the Equality Act 2010 will not bring the desired result.
"Going further with the law" is a commitment, however much they currently hide it, to change the Equality Act 2010 to enshrine gender identity in law as a protected characteristic. There was no clarity exactly how they wanted to do this, whether by joining gender identity to the protected characteristic of sex, or by replacing sex altogether, or by removing gender reassignment and replacing it with gender identity, but the desired result was to make it impossible to use sex-based exceptions in a way that lawfully excludes all males from female-only provisions.
And it's worth pointing out here that Labour created the Gender Recognition Act and during the law writing and all the debates suppressed the voices raising concerns about women's rights.
They even wrote it in such a way that the Genuine Occupational Requirement from the Sex Discrimination Act was disapplied from male GRC-holders.
Before Covid hit, I was in the National Archives in Scotland reading all of the documents, meeting minutes, correspondence between ministers, politicians, trans rights organisations, constituents, faith leaders. They did not ignore the potential impact of the GRA on women's rights accidentally. That was deliberate and the GRA undermining the rights women had in 2004 was at the very least an accepted if not necessarily intended consequence.
Then the Equality Act 2010 put sex as a protected characteristic back onto an equal footing with the protected characteristic of gender reassignment. That's why trans rights organisations have been campaigning to change and undermine it since then.
The Labour commitment to trans rights has not changed. They will fudge as much as they can about this, but I go by what my MP told me a few months before the election: Labour would seek to change the Equality Act 2010 to better protect trans people. Any detrimental effects on the sex-based rights of women are incidental to their primary motivation to improve the lives of trans people.
I have seen nothing at all in what Labour has said in the last two years that leads me to conclude they have given up on those plans.