Gender reassignment is the current protection, for which there are criteria. Gender identity is the proposed characteristic, for which there will be no criteria.
Frankly, in terms of cultural acceptance, it's a done deal. Men identifying as women are accessing women's spaces already.
If they changed the wording, but kept the criteria, that would be a different thing. You'd still have a diagnosis of gender dysphoria.
This way you don't. Anyone can identify, irrespective of motivation. And there's nothing you can say, because it's protected.