The Chillicothe and Zanesville and Lancaster and Belmont branches serve their communities and are also important as a transition from HS to qualify kids to move to the Athens campus.
You find it interesting Jeff that the only branch campuses that these posters want closed are the ones in the Appalachian Region, and open more in the larger Ohio cities.
Why would we want to close Osteopathic medical colleges in Dublin or the Cleveland Clinic which is serving a high end medical need for the state? Campuses tied to the economic power centers of the state? Also the engineering center in Beavercreek tied to supporting the economy Wright Patt Air Force Base.
I don't recommend closing the Appalachian campuses I question whether that OU is the right university to be running them when OSU or Kent St might be the more appropriate university. OSU has the overflow problem and Kent has branded itself as the ultimate Northeast Ohio public university.
OU Southern doesn't have anywhere else to go than OU because of location an Lancaster is a component of the Central Ohio backyard strategy to go along with Pickerington Center and the Dublin medical school.
Again as you pointed OSU is such a hot school of choice (though I fail to understand how a degree from there is any better than other universities in the system in 90% of the majors) they might as well be filling the branch campuses more efficiently with stronger demand.