There are additional restrictions regarding the number of players from a particular team, coach representation, etc. I was at a private school at the time and there were some issues with that and the OHSAA tampering/recruiting rules. It just overregulated.
My neighbor coaches a U17 or U18 (HS Age) boys national level travel club soccer team and also coaches at a very successful private school for boys soccer. Approx 5-6 state titles and a few runner ups the past 12 years since he's been on staff and no one bats an eye and maybe that's because the organization of club soccer has been as it is for such a long time, it's grandfathered in and it's the viewpoint "it's the way it's always been, why change?" I'm not sure. Just feels like HS football, compared to every other OHSAA sport, is overregulated.