I spent 3 happy years with the French Air Force teching both basic students and instructors, a large part of the time was spent on the Fouga. I don't recall severe elevator buffeting, but then maybe I just got used to it or just lost the feeling in the normal stall buffet. Overcompensating in pitch during the recovery is a not uncommon way to get into an inverted spin in a jet.. .As far as the inverted or any recovery goes, if the aircraft is not stalled it is not spinning. No buffet, no spin. If the momentum of an oscillatory spin takes it in and out of the stall then catching it when there is no buffet means that you can fly it out; if on the other hand you hold the controls, it will re-enter the stall and the momentum will take it back into the spin