I just checked an SEC school I'm pretty familiar with. If this issue is a function of revenue generation, how do we explain women's tennis with 8 team members that has a head coach, an assistant, and a volunteer assistant. Men's tennis has 11 and also is led by a HC, Asst, Volunteer. How about volleyball - 17 on the roster. Head coach, associate head coach, assistant coach, volunteer assistant. I believe womens tennis and volleyball are headcount sports, so scholarships are all full rides. I wouldn't know enough about their revenue vs. expenses, but it doesn't seem possible that it's better than baseball.
BTW, that same school has 44 in fall baseball practice right now.