Those schools probably worry more about college admissions. I am not a big believer in parents making adolescence revolve entirely around college admissions.
You are right about a reshuffling. We always get some kids from the Catholic schools in 9th and some our our kids wind up at the Catholic schools. Most of that reshuffling has to do with sports or other ECs. We also get new kids in 9th grade from the public schools.
Here in FL there are no PGs so we don’t have that mess.