I think Ireland is a good case study of how trans campaigning can intersect with a zeitgeist to take advantage of ignorance and unawareness, and evade proper scrutiny.
Having look in great detail at the parliamentary debates around the introduction of the gender recognition act in Ireland in 2015, I got the impression that 'transgender rights' were just lumped in with 'gay rights' in the minds of a lot of politicians - we had just voted by a significant majority (62%) in the referendum in favour of marriage equality for gay and lesbian people, and 'transgender' seemed to be 'the same sort of thing'.
Nobody argued against the GRA. No party opposed it - from the middle-of-the-road centre parties, to the 'left' [not very left in Ireland] like Labour and Sinn Féin.
At that time, right-leaning populism was still unknown in mainstream politics in Ireland.
So I think there was a lot of misplaced ill-informed good will 'Haven't we looked after the gays, why wouldn't we do the same for the transgenders - I've been told they are the most marginalised group...'
This is where a well-organised trans group called TENI - which drew on the experience of trans organisations in other countries, and had probably committed the Denton's document to memory🙄- swooped in and made themselves The Experts on all things gender.
Everyone deferred to them - legislators, educators, even the medical profession - as a trustworthy source of objective information about transgenderism. As a result, just about everything the trans campaigners wanted came into being in Ireland, and policy in areas like the law, education, healthcare, media etc were shaped by the demands of that tiny tiny section of the population.
By sticking the T on to the end of LGB - a group which the marriage equality referendum had shown to be widely accepted in Irish society - the TRAs did two things: they cloaked themselves in the mantle of the acceptance of lesbians and gays, without having to bother with the decades of struggle needed to achieve that acceptance.
By the same token, they also set back the acceptance of the LGB community by decades, because the unacceptable aspects of the trans juggernaut - unisex toilets in schools, inappropriate books in children's libraries, elimination of the word 'woman', etc - were laid at the door not of the transgender movement, but of the 'LGBT' community.
So any criticism of the trans movement can be condemned as 'a return of homophobia' because it is anti LGBT, instead of what it should be: anti T, nothing to do with LGB.
There is a small LGB✂T movement, but in a population of about 5m people, that means very small and sadly not very influential.