I think the general analysis is that the Tories got into self-ID without really thinking it through. Like many organisations they were caught napping and essentially delegated policy making to their "experts" which included Penny Mordaunt (whose twin brother was engaged to a Scottish TRA), Maria Miller and Helen Belcher. There was a lot of lobbying behind the scenes (the Dentons masterplan) and they saw a gap was opening up between them, Labour, the SNP and the Greens. Having got caught on the "wrong side of history" on gay marriage, they allowed Maria and Penny to run with it, and assumed it was uncontroversial. Theresa and and others were pretty preoccupied with Brexit.
It was only when the Self-ID consultation exploded with thousands of responses from the Tory voting shires (and everywhere else) that the Tories realised they had a problem. Good reporting from some brave journalists on The Times, the Mail, and the Spectator helped, as well as the efforts of David TC Davis MP who for a long time was the only MP willing to stick his head above the parapet.
Since then there has been an interesting roll back. Liz became Women's Minister, something she held onto despite having other roles, and has put good people in place. Jackie Doyle-Price on the Women's and Equalities Committee, though they are still stuck with Caroline Noakes as Chair and with Elliot Colburn, plus obviously a lot of non GC Labour and LD members. Kishwer Falkner as Chair of the Equality and Human Rights Commission. Cabinet colleagues including, finally, Boris, came round and the Cass report was delivered along with a raft of guidance for schools, about the use of Stonewall etc. All done without exposing the Tory party to the sort of abuse which might have caused the uninformed "be kind" brigade to think that the Tories had remained "the nasty party" on LGBT issues. There is momentum. The hope is that it will continue. Just about every organisation in the country was captured. There is a hell of a lot of ground to reclaim.
It is important that Labour also open itself up to debate. I have heard Labour Councillors say privately that they are GC, but dare not say this publicly. If they could and there is an acceptance that there is a clash of rights and a need to look at women's sports, the safeguarding of vulnerable women in jails, hostels etc, and a sensible policy on medical treatment for minors, we could have a reasoned and calm societal debate and find a sensible resolution within the life of this parliament. But Labour are stuck on TWAW and will do nothing to support the Tories on this.
I have no idea what our posters motives are, but Tory bashing on threads designed to discuss Labour policy is not the way to go.
I also think that if it were not for this issue we would have Penny not Liz as PM. Labour should take note. It is an electoral issue.