I think there's a big difference between an era when people were killed for being lesbian or gay - which they still are in parts of the world, let it not be forgotten, and lesbians subjected to 'corrective rape - and children were punished and disowned by their families because they were 'that way'.
Many lesbian and gay people had an idea from a very early age that they were not seeing the opposite sex in the same way as their peers - I was never, ever even vaguely interested in boys in any way apart from good pals to play with, and later to drive around with in old cars we had worked on.
I never did any teenage mooning over boys, any going to dances to get off with boys, any dressing up and going to the debs dance with boys..
There's a difference between telling children like I was that it's OK to think like you think and feel like you feel - self-acceptance and body positivity are good lessons for all children - and telling children that they were born in the wrong body and offering them damaging pharmaceutical and surgical ways of 'correcting' what is wrong with them.
There is a difference between telling children that a percentage of human beings have a different sexual orientation, which is a verifiable fact, and telling them that humans can change sex, which is factually inaccurate.
'The' gay movement was always more diverse, amorphous (am I part of it, for instance?)and less powerful than the very targeted trans rights movement, which has 'captured' the media, education, the law etc in a dizzyingly short space of time, unlike either the women's movement or the lesbian and gay movement which had to hack their way through centuries of discrimination and hatred to get something approaching equality.