I'm arguing that men who were admitted might be lower quality than women who weren't admitted because their gender exclude them...
This is exactly what I'm saying - whichever group gets bonus points/preferences/etc will have lower quality. In the past, that group was women. Now it's usually men, though not always (some nursing schools give preference to men [1], some liberal arts colleges do also).
[1] Defining quality here is slightly trickier since nurses of both genders are needed for specific tasks (mostly related to bathing).
This is exactly what I'm saying - whichever group gets bonus points/preferences/etc will have lower quality. In the past, that group was women. Now it's usually men, though not always (some nursing schools give preference to men [1], some liberal arts colleges do also).
[1] Defining quality here is slightly trickier since nurses of both genders are needed for specific tasks (mostly related to bathing).