Clearly I am being inarticulate. Those elite students who choose to attend elite schools are not often choosing nursing as a major ( and it is often not even offered there). Some of them will enter the health professions, at higher than average rates of med school acceptances, for example.
There are nurses who could have attended med school, just as there are doctors who could have attended nursing school. Overall, as a group, however, there are differences between the aggregate groups ( tho not necessarily on any individual level).