Nah, it's just American politics imported. Estonian far right party tried it with gay people but it got them ridiculed instead because same sex marriage wasn't even legan then but they made it into a hot enough of an issue that after losing our government signed a law that does legalise it starting next year.

I'm guessing Estonia will get the "save the children" narrative for our next national election, I'm hoping that will end up making stuff better for trans people instead.