I don’t believe that trans people want to compete in the section they identify with just because it Might give them a physical advantage.
First of all, it does give them a physical advantage. There's no "might". It does. That's precisely why sports are sex segregated, or supposedly they are.
Secondly, we already have trans women competing in women's sports and no natal woman can get the gold. So why do you not believe it?
Third, even if no trans woman had done it yet (they have, several times), women athletes still need protection against it.