Can I just say what I think about the 'I am a table' example?
mummybear701: 'she is comparing an inanimate object with a human'.
No, I don't think that's what's going on with the example. There is no comparison like that there at all (perhaps contrary to appearances).
LM (and TRAs) claim that saying 'I am a woman' makes me a woman. That's self-ID, just in a nutshell. Why is it nonsense? Because any claim that 'I am an X' makes me an X is silly, no matter what X is.
This latter assertion, now, 'any claim that 'I am an X' makes me an X is silly, no matter what X is' is forcibly driven home by taking a particular example for X: take X to be a table.
It's a logical point being argued, and not at all by analogy or comparison of tables and humans. The logical point is that identifying as something cannot constitute what it is to be that something. That's true because of the logic of identifying and what it is to be something.
'I'm a whiffledorf.'
- Oh, are you really? What's a whiffledorf?
'Anyone who says they're a whiffledorf is a whiffledorf.' (It's a self-ID concept!) 'So yes, I am really a whiffledorf.'
That's nonsense, not because 'whiffledorf' is a nonsense word, but because it doesn't make sense to define or explain the meaning of something (whiffledorf, table, woman, anything!) as 'what anyone who says they're one of those is'. And it shows the LM (and TRA) claim, 'Anyone who says they're a woman is a woman' to be equally nonsensical. No comparison of humans with whiffledorfs or inanimate objects or anything else.
That's a bit long. Worth getting clear though. I hope it makes sense.