You miss. I was educated in Catholic schools up through HS, and then in a private university in the South, Tulane University, graduating with a degree in history after four years in a city (New Orleans) steeped in Southern history. The only “government school” I went to was the University of Florida College of Law.
This has become dogma throughout Academia ever since the 60s leftists engaging in their long march through the institutions became dominant around the late 80s/early 90s. I was educated in private high schools, got my undergrad degree at the University of Florida, my law degree at California Western and my MBA at Thunderbird. Of those only UF is public, but the point still stands.