The Greg's faculty has been regarded as less-than-orthodox for quite a while, with the usual exceptions.
There were a bunch of leftovers from Paul VI's reign, and then the inbreeding continued for a while.
I don't know if JPII ever really reversed the direction.
One of my college friends entered the seminary and completed his studies in Rome where he was ordained. He is now a parish priest here in Virginia at his second assignment. Not only was he heavily influenced by John Paul the Great, but he is a solid Reaganite to boot. (He served as my College Republican Vice Chairman one year.)