Nothing you said in any way addresses the three things that matter to the program. You are pointing out things that matter here, not to a staff.
Those teams, like Montini, that play tough non-con schedules believe that playing tough games early reveals the makeup of their team and allows the coaching staff to make early adjustments in personnel and possibly scheme. You can flip the question as well. What benefit is derived for Naz in playing schools like Dunbar and Leo?
Racki knows the make-up of his teams - they are Tim Racki teams. Plus there is no need to reveal scheme against a tougher program BEFORE conference and the playoffs. "Here, let me show you all the wrinkles I have to beat tough teams before beating tough teams actually matters." From a logic perspective, that is flawed as can be... Why schedule Leo? Okay, schedule someone else, but that's no reason to say they need to play Montini.
Why not play a tougher non-con schedule to match the current strength of the program? Because once again, non-conference games do not help you in any way accomplish what three things matter.
Also, if I'm a Montini "recruiter", I would use Naz' non-con schedule against them. Go to Montini. We believe in playing the best competition. Look at our non-con schedule and the fact we play in the CCL. They can also point to the results. Montini's approach certainly has worked for them. Naz has had recent success, but not the sustained success of Montini (at least over the last decade).
Okay, sweet non-conference schedule. The conference schedules are equally brutal, and again, that's what matters... Montini can tout that and Nazareth will tout everything that has been clicking for the past 4 seasons in terms of drawing talent... The Nazareth staff will happily discuss the dozens of other things more important to a kid than non-conference schedule.