To rewrite your original comment, "Lia Thomas, who was born male, was permitted to compete on the basis of her gender identity claims" would be a fine and understandable statement, I think.
When talking about the person Lia Thomas, we are talking about a woman. She's Lia Thomas. Yes, she was assigned male at birth and her biological gender is male, but the person is female.
Again, I am maybe a bit petty, but I think this is exactly one of these important aspects when talking about transsexuality.
I'm not really disagreeing with what you're essentially saying, just trying to make a point about transsexuality.