My daughter is diagnosed with autism but if you met her you would have no idea, though you might find her difficult, rude. Anyway, her type of autism is called Pathological Demand Avoidance Syndrome. One of the common factors in PDA is the role playing as a coping strategy. People with autism lack a core sense of self. PDA role playing involves searching around for ways to operate safely in the world, by copying others for example, or taking on a personna.
When she was at primary school, my daughter basically played at being Hannah Montana. She would get into trouble for the sassy eye rolling - she didn't always know how to use the part appropriately. But it kind of worked.
She went to an asd secondary school. Even 15 years ago there was a girl there who identified as a cat.
Anyway, this school now apparently has loads of trans kids. And imo it's part of this role playing business. They can't show the real them, so they take an off the shelf identity.
Looking at the young people I know who are trans, they were the awkward ones when they were younger. Struggled with friendships, highly anxious. I def think autism is highly implicated in being trans.
Btw have any of you seen / read The Hours (book by Michael Cunningham)? It is a tribute to Virginia Wolf's Mrs Dalloway. In both, the main character does things because it is an act, a performance, not because she really wants to do it. So when she makes a cake she is performing and becomes "lady making cake" rather than actually wanting to make a cake. This is PDA/autism and I reckon is very much what a trans identity consists of. They are performing femininity as a coping strategy.