And by the time they've done that, their advantages are somewhere between slim and none. They usually fall within the ranges of other women -- and the top cis female athletes will always be at the extreme ends of the range anyway.
So it's a lot more complicated than just "men showing up at women's events", and surveys like this are heavily influenced by it being presented that way. That presentation has a lot less to do with people worrying about fairness to women in sport, and is mostly about harassing and marginalizing trans people. All trans people.
We could have a serious discussion about why women's sports exist at all, rather than just the open class. And that would bring up questions of just what makes women women -- it goes far beyond what's between their legs and even in their endocrine systems.
But I don't believe that the laws being passed to "protect female athletics" are anything of the sort. They don't even try to fairly present the current state of knowledge about genetics, hormones, and the results of legitimate scientific tests of the results of medical transition.