The first one is effeminate homosexuals that have a sort of "special" position in society. The Indian "third sex" or the Philippine ladyboys would be examples.
To add to this as it’s related, Eunuchs were made in some cases literally to be sex workers/toys.
Another Roman emperor was said to have had a boy castrated and made into a replacement for his dead wife.
Some were made for this purpose, to be something like a woman to fuck without risk of pregnancy, so arguably like Thai ladyboys and Brazilian transexual prostitutes.
However, there is no firm evidence that these boys requested or had any kind of free choice in the matter.
Maybe some were like modern day Troons and so this was a happy accident, and perhaps some sought it out as it could have been a way of avoiding poverty.
But it’s not like an everyday Roman soldier or farmer would have nipped to the local castration center and come back a true and honest woman.
There did continue to be eunuchs in theatre and opera, harem workers and palace servants in various societies across the world, but until the past decade or so, no one saw them as wanting to be women.
And yes, trans “men”, outside of rare examples of girls disguising themselves as male to join the military, never were a thing like Troons want to insist they were.