I haven't been arguing otherwise.No one is saying a trans woman ends up a biological woman. Trans people can have their legal markers including birth certificate and pass port in the ACT and Southh Australia gender confirmation surgery is not required to do this.
Most sports including the AFL and IOC don't require gender surgery to change gender.
They can call themself what they like and live how they like.
They can legally get a piece of paper saying they're a woman when they're a man. But they're still a man. The truth of their biology doesn't change.