Yes, it's important to be very clear about why we are discussing this - because AWAs have rhetorical trick whereby they make a false analogy. They compare one categorization of people with another categorization of people, and say that because one categorization exists, the other must logically exist too.
Aside from the utterly offensive nature of choosing black women as a group by which to prove that the group of men who believe they are women are analogous that has been discussed extensively on the thread, it's also logical nonsense.
Putting a random prefix on a word for a category doesn't create an equivalence between the random new prefixed word and all other variants of the term.
Black women, white women, etc. are members of the category 'women' first - the prefix doesn't do anything to affect their membership of that category. If I were to postulate the existence of 'Tree-women', I could argue until I was blue in the face that a sycamore is just a subset of the category 'woman' because I had chosen to define certain trees as women, but my analogy would be false, meaningless, and probably offensive if I used it in such a way to prove that a non-sentient plant was just as much a woman as a particularly oppressed actual member of the larger group 'Women'.
Categories are very useful things. AWAs have us all chasing our tails with this bullshit shell game whereby they invent categories and challenge us to defend reality from their onslaught of Lewis Carroll style gobbledygook. They can do one.
Bottom line here, this is only requiring more than scornful dismissal if you accept TWAW. If you don't, you just point out their racism, and go about your day.