I am sending my kids to Catholic school. Not for lacrosse, but they play. So can we end this silly comparison. It is clear that a lot of today's exposure is done at the showcase events. So it doesn't matter where you play as long as you are a team that gets into these high level showcases. Adrenaline, NXT, Maverick, etc.
Unfortunately, st Anthony kids were not either at, or not top performers while at said events, other organizations/schools faired much better (check inside lacrosse). So I don't get your point.
