I've been wondering this for a little while and I have trouble putting it into words, but I guess JK Rowling has brought it to the front of my mind.
What would logically happen if we really did follow the example of woke tampon advertisers and identified ourselves based on our anatomy? Would that really make TRAs happy? Or MRAs?
If we went through products, articles, books, etc and replaced the word woman with a biologically based word to reflect the people who it actually meant, would it change anything? Would it be clearer that what we have in common isn't based on clothes or hair or make up?
If uterus-havers, menstruators, former uterus owners, and XX chromosome owners are at a disadvantage because of our biology, and are a protected group, then could we have places and opportunities to be together based on shared biology?
Or would would people suddenly develop an "emotional uterus" or something and insist that they share the same spaces and receive the same services because of that?