I am sure someone has explained the mechanism before, but it strikes me that you have, say 3% of the population deeply invested in transgenderism, and about 83% who if asked directly would want the protection of single sex spaces.
However that 83% have lives and this is only a minor issue for them. They look to the Government and society to protect them and to make sensible decisions. If members of that 83% get concerned that their views are being ignored and that Self-ID is not right, and so stand up and say so, they get attacked. Why are they speaking up, its not a big deal, they will probably never come across a transwoman in a toilet, etc. They must be obsessed and phobic.
The 3% instead are allowed to make transgenderism their thing. They represent transgender views in all sorts of qualities roles. They get paid to deliver equalities training. They are enabled to carry out a form of entryism into the public sector, the media and commercial firms including banks in part under the guise of improving diversity.
FWIW I think that weird politics including Trump, Brexit and the Red Wall is all about that 83% on a range of subjects feeling that their views are not being heard. And that if politicians and the media made an effort to ensure that content reflected broad social consensus,. not just the shrillest voices, we would be able to go back to two centrist parties, one left leaning and one right.
And JKR. Thank you for standing up and speaking on behalf of all of us. It is so important for all of us. Especially more vulnerable women in prisons and refuges. Or the teenage girls effectively being groomed in their bedrooms. Or Muslim women and girls no longer allow to engage in activities as they cannot be guaranteed to be single sex.
But important for the wider democratic principle that a majority view should be heard, on this or other issues, and that respectful debate allowed to happen. (Another example was Brexit where concern about a European super state was attacked with a simplistic "you are racist" line, or indeed supporting the Republicans has become a "you are in favour of Trump, you are beyond the pale".)