Foolishly checked back in to just read this latest, which I now regret bc I have to reply before going to bed.
I may be wrong (haven't read the intervening posts), so apologies if so, but this seems to be to sum up best my concerns about gender ideology.
If (and, again, apologies if you're not - no time to read everything to check) applying misogyny to yourself on the basis that you see yourself as a woman, and homophobia to yourself on the basis that you see yourself as gay, even though not all women and not all gay people would agree...
...then you're leaving those women and gay people with no word to describe the at-least equally valid way in which they see themselves, and the equally significant and damaging prejudice they face.
The strongest argument I can think of against trans women "being" women is that, if they take this word, that leaves those of us who disagree with no noun at all to describe ourselves. Whereas, if they accept the distinction between trans women and women, both groups retain words to describe and advocate for themselves and their rights.
The side of the debate that argues that the members of an historically-oppressed demographic should lose their ability to refer in clear terms to their oppression at all - that we should all lose our ability to refer to women throughout history, or to the abuse of Afghan women who've never even heard of gender ideology, or to female firsts, or to Saudi law, without relying on an adjective equally applicable to animals - simply cannot be the side with the strongest, most ethical argument.
We deserve a word - a single word - to reflect our reality.
Even if you don't personally believe that our sexed reality is "factual" (to which I say, see Marie's comment above), others do, and deserve the language to express this belief. And it's not insignificant that several millennia of human history and multiple countries globally stand with them. As long as women's sex affects them, whether it's needing to describe and teach the past unambiguously or to challenge and change the present effectively, to argue that we should be left with no word with which to do this is, to me, the ultimate act of oppression.