Yes I disagree with the narrative that
1- all things need to be segregated based on sex.
All things? Sport, prisons, changing rooms, rape refugees, all women shortlists and toilets (although some people don't mind toilets).
2- allowing transpeople with a GRC to use toilets of their desired sex is an issue.
That involves a total of 5000 people in this country. Half of whom will be women. If you can restrict toilet use to them, knock yourself out.
But you can't. It's illegal to ask to see a GRC. So it's a pointless point.
3- allowing transpeople with a GRC in said spaces will mean Muslim woman have to stay locked in their houses.
Unless you ask all those Muslim women, you can't answer that question.
4- that transmen continue to rape and murder at the same rate as men.
(I'm assuming you mean transwomen). How can you disagree with that? Nearly half of the transwomen in prison are there for sex offences. Way more than the general prison population. Confirmed by the Ministry of Justice.
If you are stuck on that point, because you don't want to believe it, I suggest you check it out.
As for the women's groups. WPUK and Fairplay for Women are very moderate! WPUK simply want to uphold the existing law, and strengthen exemptions. Fair play don't have a list of demands. But prisons is a special interest for Nic Williams.
The reason why these discussions happen here is because the credibility of transactivists, who advise government and all these associations, including schools, is on the floor. They have proven themselves to be serving an agenda that is deliberately dangerous to women.
Of the people who advised the original transgender equalities committee, you have transwomen who have compaigned for decades to legalise extreme pornography (where the viewer is in serious doubt as to whether the injuries are genuine), and to lower the age of the participants. You have
a transwoman who is being investigated for indecent exposure, you have an organisation whose manifesto claims all trans prisoners should be released immediately and other nutty demands.
Women here aren't interested in undermining transsexuals who have gender dysphoria. They are, I have to say, fairly irrelevant.
They are interested in stopping a male sexual rights movement from undoing decades worth of women's rights legislation.