I had an interesting discussion with DS (20). He's at quite a 'woke/left' university (aren't they all?) and now has many LGBT friends (although he is straight). It's clearly opened his eyes to all sorts of current issues and I suspect he is trying to make sense of it all.
He attended independent schools from age 8. Whilst not faith schools, both were aligned with the Christian faith and affiliated to a local church.
We talked about how much discussion they had in PHSE lessons about gender identity and he said "not much", but it was mostly broad brush about respecting differences and letting people express themselves. He was aware of gay kids and teachers and perhaps someone who was trans in a different year.
My sense is that independent schools are much more low key about it and don't need to succumb to the pressure from Stonewall et al in the education system?