As a metric on which to ration higher education.
It seems quite obvious to me that this is a bad thing, and should be stopped. If I go to the doctors I want the doctor to be the swotty kid who was good at biology and chemistry, not the jock who was good at sports. In a more general sense, I think one of the most important things for a country is to ensure that higher education goes to those most able to benefit from it, as this will give the most capable workforce and the most successful economy
Going along with your premise... Colleges and Universities have their own sets of considerations in terms of who they want to admit. They are large organizations/companies, run by trustees and they admit students based on what they think is the most beneficial to
the University, not the individual student, or "the country". So if having a championship contender sports team(s) is what the trustees think is in the University's best interest, that is what they are going to do. Admittance into a University isn't an entitlement based on good grades or test scores, no matter how badly some folks wish it was. Skill on the athletic field is as viable, and sometimes more viable criterion for admittance to a University as skill in the classroom. The individual school decides what traits are most important to them in terms of admitting students. Another trait that Universities value, for obvious reasons, is the tendency to continue to donate to the school's endowment after graduation, which tends to favor
legacy, which is, by far, the most important admission criterion to most Universities
.
So applying this to the issue being discussed, ie., trans female athletes, I will say that I find the notion that any substantial number of persons would
pretend to be trans in order to get admitted to a University for athletic reasons, pretty absurd. And that is all that matters really, because if a person is legitimately trans female, any supposed advantage that they theoretically have is incidental, like being taller in some sports or shorter in some sports or heavier in some sports or shaped a certain way in some sports.