Uhhh...nope.
The limitation on baseball scholarships comes from the NCAA. For some idiotic reason, baseball is considered an "equivalency" sport, where the number of scholarships allowed is less than the number of players on the roster. Thus, nearly everyone gets a partial scholarship.
I've talked about this for years, it is one of the reason that UM struggles compared to state schools in Florida. We tend to have to recruit the rich kids, who can afford to pay part of their own tuition. It's easier to pay that tuition at a state school with lower tuition costs.