So the word “woman” is absolutely meaningless in the way you use it.
You are steadfast in your belief that some men are part of the group “women” without even being able to define what that group is.
It’s true that in your belief system there are no universally shared common characteristics between “women”, but that doesn’t mean women aren’t a coherent group. It just means your belief system is incoherent.
The only definition of woman that is coherent and makes sense is “adult human female”. Those are the three characteristics shared by all women, universally, including women with female specific DSDs, who are female, despite what genderist ideologues would have you believe.
There are, as you acknowledge, NO common characteristics shared by all women and all men who want to be seen as women.
Because, apart from our common humanity, we are not part of the same category of adults.
If we were, you wouldn’t have to try to desperately to shoehorn members of one group into another. We would actually have something in common that inevitably made us part of the same category.