I know one D1 coach who gets this info (and more) from his female runners...but via the sports medicine people, not directly.
His university does not have sports scholarships--all financial aid is based on family need--so for him it's not a question of an investment, but rather one of keeping the athletes healthy. As he moved from high- to top-level recruiting, he found that serious situations in this area were much more frequent among the women he was bringing in.
I think this is a smart way to go: both to get the info, and to have the info collected (and evaluated) by the people who would actually be involved directly if the athlete should become sick or injured. Speaking as a lawyer, I like that the coach is buffered from claims of harassment, invasion of privacy, etc., and the university has a defense (if false or incomplete info was provided to Sports Med) against a liability action. Speaking as a coach, I'm pleased to know that my friend a) understands that this is important info, and b) gets a medical heads-up *before* he starts coaching these women.