DadJoke, I appreciate that you probably think you've found a clever way to move the discussion forward, and I am pleased that you're trying.
The problem is, you have things a bit backwards.
Once upon a time, we were happy to discuss the semantics and find a middle ground, most of us started in that place (so assuming you have a previously unthought of solution comes off as mansplainy).
We got nasty abuse for our trouble.
We are holding the line on twam because we have learned the hard way that any polite concession invites a big fucking bulldozer. They didn't just steal the word woman, they went on to steal female and any word that we might dare to use to describe our material biological female reality.
We didn't destroy the goodwill in having a nuanced debate. Blame the #nodebate crew who prefer slurs and masks and baseball bats.
Unless and until the TRAs can give me an alternative working definition of woman, that holds up legally wrt acknowledging and mitigating the female biological disadvantages/oppression, then your attempts to smooth things over with semantic games won't work. If we pick a new noun, they'll steal it. If we try to compromise, they accuse you of bigotry. Nothing less than repeated total capitulation is enough.