Or do only trans women have some apparent agenda, whereas trans men are fine? Or are trans men not fine either? I find some of the arguments about the supposed ulterior motive behind trans existence on here confusing - they assume a wholesale assault on women's rights, but don't seem to assume the same for the opposite side of the coin. Obviously there are centuries of oppression of women so I could understand that angle if it were only trans women that existed, but it's like trans men either don't exist or are a completely different issue altogether.
Basically, implicit power vs explicit privilege.
Males in a society shaped by patriarchy have implicit power. It doesn't need to be written down anywhere because it's coded in the culture and built into the everyday functions. It's in how male voices are given more authority than female ones, the default face for a CEO, a judge, a cabinet minister, a comedian, a renowned artist, an entrepreneur is a male one. It's in the traditional working day not lining up with the traditional school day, in the expectation that caring for a family is funded and staffed from private income by the parents and if one sods off tough luck. It's in the way we publicly condemn rape but prefer to let rapists off than ask hard questions about the society that grows them.
Females in that society don't have power. What we have is explicit privileges put in place to balance and protect us - women only spaces, women only shortlists, women only opportunities.
A crucial difference between them, aside from the obvious that male power is far more, well, powerful than female privileges which really just boil down to some limited protection from deliberate or unthinking damage by males, is that the implicit stuff is not easily transferred. It only changes when enough of the culture changes, and it's so so deeply ingrained in the culture now. But the explicit stuff is an act of conscious will to prioritise females, so it's trivial to change by deciding to open up the privileges to other people as well.
So that's the difference. Male power is not at risk from trans men because it's not easily transferrable, whereas female privileges are at risk from trans women because they are.
The simplistic analysis of "A to B, therefore B to A" is only convincing to someone who has never thought even the slightest little but about why things are different for males and females in the first place.