It sounds like these are all schools that give athletic money? Do they also give merit aid?
If so, I don’t think being full pay will play into the decision…especially if the coach didn’t ask you if you have financial need or would be applying for FA.
At the Ivies and highly rejective D3s, none of which give athletic money, it’s common IME that coaches ask if the student will be applying for FA. And if the answer is no, that is often advantage.