Should they also get free everything while they're playing, as well as a fully paid education after they're done playing too?
I don't think that's the right question, legally speaking.
It may simply be a matter of how the labor laws define who's an employee, and which institutions can bypass that definition by trading off compensation in the form of scholarships and other benefits (housing, food, equipment, etc.). Yes, all those things have value, and the value may even be greater than what their compensation might be if redrawn, but what do the labor laws say is their legal status?