Yeah, maybe lazy. But mostly true nonetheless.
Five games was not an arbitrary selection. In a 9 game regular season 5 games constitutes the majority (> 50%) of that that season. Hence my choosing fives games, so that schools have to play the majority of their regular season games against other IHSAA schools.
If my 5-game proposal along with no other scheduling proposals would be approved by the IHSAA executive board then yes, they would have that collusion power.