'Re the fat analogy - to make it accurate, perhaps there would have to be a small but vocal minority of fat people asking everyone else to call them thin. And thin people's right would have to exist for this minority of fat people to try and appropriate. And, basically I don't think this analogy is all that useful or accurate.'
erm, what do you think 'fat shaming' is all about? The fact that you should not notice that someone is fat.
Right to exist?! I don't think anyone is discussing the wholesale slaughter of women. Your existence is not dependent on the recognition of a word being exclusive to natal women. This is where hyperbole really does not help your cause.
What you are talking about is the recognition of natal women of having specific rights which (depending on the specific right), on the whole, I agree with.
There are ways and means of achieving the above. Personally I do not believe deliberately upsetting trans women serves much purpose, especially as I expect the vast majority are naturally on your side.
In any event, to get back to your favoured derail (of your own thread..) Tunnocks Teacakes are pretty unpleasant, with most containing palm oil. Personally I would not feed them to my kids. On the other hand, a delicious M&S chocolate orange biscuit with a strong cup of tea is just the thing on a warm afternoon.