Quite often, the impression I get from TW is that they’re ‘feel like a woman’ is actually, ‘feel like the projected idea of women’
How can it be anything else?
I don't know how it feels to be another man. Why would a woman know how it feels to be another woman?
We assume that we must (typically) feel similar to other men or women, but we can't know for certain. All we really know is 'self'.
Seems to me the don't much like feeling as they do, but like something they see in a particular woman, or subset of women, and convince themselves that the feelings they have match how such a woman would feel - ergo, the feel like their idealised interpretation of how their idealised woman would feel!
I'm not Eric Clapton, but I love guitar. It would be very easy of me, especially as a young man, to convince myself I'm secretly more like him than I am myself... because I'd rather be him than me (having idealised how amazing it must be to be him).
If people around me are also saying 'you have talent, you're just in the wrong body to fully realise it... you can take a drug, or have an op to realise that dream' - then it's going to be very persuasive.