Around here you will see "Ladies mount" for smaller gentle horses and "Husband horse" for large gentle horses. Husband's who are the main riders and are dragging their wives along will look for a "ladies mount" for them and wives who love horses and are dragging their husbands along tend to look for "husband horses." The rest of us who actually have the horse bug - no matter if man or woman - tend to take the fiestier horse.
Its all in the point of view of the relationship. I know in my household I'm the one who puts the first rides on the green horses and then my husband may ride them after we are pretty sure there is no buck. However, another person we ride with the husband starts the horses and the wife won't ride anything that isn't absolutely dead-broke. And yet another home both husband and wife enjoy starting horses and they have high turn over because they buy them young, get them started well and then sell them and start over with new projects. They both enjoy it. So it all depends on the individual relationships if they would be looking for the "husband horse", "ladies mount" or neither.