As for transwomen being women and wanting to be recognized as such, there are transwomen who don't agree with the gender ideology that you are whatever you declare yourself to be.

For instance:

https://twitter.com/kelly_cadigan/status/1652646020809891843

https://twitter.com/duchess_elle

https://mirandayardley.com/en/from-lesbian-and-gay-liberation-to-equality/