I saw the entirety of the Benedictine-Godwin game.
Lees completely dominated. He sat in the 85-87 range and showed a nasty breaker. He gave up only one clean hit. The other hit was a pop up that the 2B had, the RF called him off, then wavered and let the ball drop. It happened with a man on 2nd and 2 outs (walk and wild pitch) and that was the game's only run. 17 K's, only 6 balls put in play.
Joseph put on a show of what it means to be a "crafty lefty." His fastball is only 80-81 but he consistently scraped the black on both sides of the plate. He had a strong curve and an outstandingly deceptive change up. He had to battle with some really poor defense. He compensated by picking 3 guys off first and a 4th off second.
Kind of a shame that ball dropped, extra innings would've been fun. The only ball hit hard all day was a double to the RCF gap by Lees leading off the 4th or 5th I think. Joseph promptly picked him off 2nd. That was Godwin's best chance to score.
In general I think what you see with private schools is that they will have some players who could be studs on any team you could name. But simply because they don't have a lot of students to draw from, sometimes they are not quite as deep in talent. It's hard to predict the outcome of any one game because one pitcher having a good day is a great equalizer. But overall it's hard to argue, the public school teams on balance are stronger.
FWIW, Benedictine is undefeated against private school opponents, typically winning by blowout, but only 2-3 in the games against public schools (and I think all five games have been one-run and/or extra inning games). What you have is perhaps the best area private school playing teams that are ranked from 5th to maybe 20th in the region and pretty much playing them even. So yes, they can complete, but that record would seem to indicate that it's also true that the overall caliber of competition is stronger in the public school ranks.