The family I know with a young transed child, it is the father driving it and the mother insecure about her parenting and going along with it. The certainty the dad, or the internet, offers is really reassuring for people who are struggling as parents.
Curiously, the dad also behaves in a weird way regarding dropping his child at school. He walks to school telling them how brave they are, how scary school is, making it a huge deal each day. I think he enjoys the child getting distressed and his big display of comforting them, carrying them into school with all the sympathetic looks he gets. A few of us, including people who don't even know child is trans, feel really uncomfortable with his behaviour but can't quite articulate it to talk to the school, if that makes sense.
He accused a fellow parent of not parenting because she left her not distressed child in line and talked to other people, instead of staging a massive farewell every morning. We're talking on his knees, "I'll miss you so much," drama, that nobody else does. It just seems so fake and weird and not a million miles from Munchasen (sp?)
I don't have the experience or language to really explain it but there is something going on that we don't fully recognise as abusive or wrong, yet, like a parental need for recognition manifesting in a detached way. Parents who have few RL friends, so get their perspective on line where it's all dramatic with no context. Sorry for rambling, I just can't put my finger on it but I know if someone else does, I'll be able to say "yes, that's it!!"
I don't think he'd buy a plastic penis though, that's on a different level,