I agree with your conclusions — it’s your argument I have issues with! :-)

In particular, changing your gender is not at all like selecting a sport to play in school. Such a weird metaphor! If you decide to play soccer, you tell people, and they nod and possibly even forget it in a few minutes — however, changing your gender is something that has a huge impact on your interactions with every other human.

Society handles fluid genders badly. I have had gay friends who were “secretly” having heterosexual relations, there isn’t even a good word for that!

I can certainly see someone as reluctant to “change back” because of how society perceives them…

But is this a problem? Not really. Very few people decide to change their gender lightly — I can’t see, “Gosh, I switched gender yesterday on a whim and now I’m stuck!” as any sort of wide-spread issue.