It's very frustrating. I'm a teacher and I have to tread carefully about what I say at school.
We had a male student who presented in a very feminine way (I was one of many teachers who assumed he was a girl at first). There was a situation when some younger boys reported him for using the boys' bathroom, assuming he was a girl. Several teachers immediately suggested we talk to him about his gender identity, ask what he would like to be known as etc. I said no way! If he raises any of these issues, then we can address them. But there is no way we can approach a teenage boy and suggest he might like to be known as 'she', just because he's grown his hair, speaks very softly, and hangs around exclusively with girls. It was like people were keen to have the discussion with him. That really worries me.
I was once teaching a lesson about heroes and I deliberately included a picture of JKR on a slide of various women we might look up to (others were Malala, Michelle Obama, Greta Thunberg, Serena Williams etc). I was trying to keep it to women they would all have heard of. I included JKR to see if they would react to the press about her being a transphobe, and sure enough a couple of girls recoiled and said, 'she's not a hero, she's transphobic'. I know they are (were?) both big Harry Potter fans.
I asked them what they meant. They said she'd written terrible transphobic things. I asked them to give me an example. They couldn't. I asked if they'd read her letter. They admitted they hadn't.
We ended up having a discussion about the media and how we need to check our sources, not accept everything at face value etc. I gave them some examples of things JKRhad written in her letter.
No idea if it had any impact but I can't not try!!
My own children are small but I do not look forward to the possibility of them becoming too heavily influenced by this sort of thinking as they get older. We'll have to wait and see...