Without name dropping, I promise you that several high schools across the Mahoning Valley have tried to recruit guys out of Warren Harding. Whether they're successful in that regard or not, nobody really cares because ultimately, those schools don't win. If anything, they can play the "innocent" role because they aren't successful on the field.
Meanwhile, here's an example of why many players come to Ursuline... In 2018, they played freshmen QB Brady Shannon, RB/DB Demarcus McElroy, WR Dean Boyd, and Jakylan Irving on a varsity squad that finished that season with a record of 1-9. When Reardon came back in 2019, the Irish finished 2-8. By the time those guys were seniors in 2021, they beat a loaded Glenville squad in the playoffs en route to finishing as the Division III state runner up. Coaching & development brought those guys up, so Reardon's "proof of concept," along with the strong tradition that he helped build there, "recruits" itself.
Mind you, Ursuline's first state title ever came in 2000, which was two years after the original Youngstown East closed. I was a freshman at Warren Harding in 1998-99 and that year, Anthony Abron transfered over after East closed in 1998 because, apparently, he didn't want to go to Ursuline, Mooney, Chaney, Rayen, or Wilson. Abron finished that year as a 1st Team All Ohio selection before ending up at Toledo. Nobody ever talks about him, but he's the guy that pretty much opened up the "pipeline" from Youngstown to Harding, but they aren't the only area school has benefitted from their talent. Hubbard, Howland, Fitch, Liberty, etc. have all had athletes from the Yo. Heck, current Charlotte Hornet Terry Rozier went to Shaker Heights and will tell you in a heartbeat that he's from Youngstown.
OTOH, Mooney has been winning state titles since 1973. Like Ursuline, they were competitive, but didn't make much noise in the 90's. By the mid 2000's, they got in on the action with state crowns in 2004, 2006, and 2009. Personally, their teams in 2006, 2007, and 2009 are three of the best that I've ever seen Harding play and 2005 wasn't exactly chopped liver either. Then again, you said that there's "publics who had zero chance to compete with the football factory," yet Coldwater knocked off Mooney in the 2005 & 2007 Division IV state title games. In the same year as the latter, Marion Local defeated Ursuline to win the Division V state crown. All of these years later, you see what Coldwater and (especially) Marion Local are still doing. The aspect of "community" and coaching builds their youth up to take on the world.
In 2014, Coach Nate Moore led Cincinatti La Salle, the former doormat of the GCL, to dominant wins over Colerain (40-21), Moeller (34-9), Elder (56-35), etc. en route to a 14-1 record and their first ever state title. In fact, Moore built their program up so tough, the Lancers won three more state titles after he left that offseason (2015, 2016, & 2019). In his first season at Massillon in 2015, the Tigers went 4-6. By 2017, they were in the Division II state semi and despite falling short to Winton Woods, they kept knocking at the door every year. They've strengthened their regular season schedule every year since he's got there and as we all know, exactly one week ago today, everything finally came full circle for Tigertown. That process didn't happen overnight and now that they've tasted the ultimate success, it will only get even better from here.
As a diehard Harding fan who grew up when I did, I understand the benefits that come with being brought up with a strong foundation. When "outsiders" see that, they want to be a part of it. I know several great players from other schools who wanted to play for Harding, but their parents wouldn't let them, so I'll bet anything that there's many athletes living by Massillon, Hoban, Eds, TCC, and Glenville thinking, "I wish that I was a part of that!"
Long post, but as I said earlier, when "community" meets superior coaching, that's when real success can happen and when it does, more & more families are going to want their kids to be a part of it.