Half of the human race is one reproductive sex.
The other half is the other.
It doesn't matter which collection of consonants and vowels we associate with which sex. What matters is the the association is explicitly understood.
People will always try to layer extra associations onto the words that we use to refer to the sexes. Often those extra associations are brutally unfair and serve a nasty agenda, and frequently they are unwarranted and false.
So do words matter? You tell me, transactivists. If they don't, if you can make them mean whatever you fancy, then why have you targeted the word woman which means of the sex that makes eggs. Why not make up your own word which doesn't have that definition as part of it?
And for that matter, if you successfully claimed woman, and agreed a definition which clearly differentiated it's characteristics from that of man, would you be content if 3.7 billion people formerly known as women abandoned the word and left it to you entirely? Do you want the word woman when biological sex has been stripped out of it completely and what is left is a word that describes a personality type but has also become associated with exclusively your male bodies too?
We all know that the word alone isn't what is desired.
And if the female sex ceded the word woman to you and created their own new word for their bodies you'd be after that before we could utter it's syllables.
This battle to control language is in truth a battle to prevent women from being recognised and acknowledged for what we truly are. To acknowledge the truth about women is to acknowledge that exist separately and differently from men and that men can never be like us.