The F8U has a flight model that experiences buffet in the high transsonic range. I don’t have the F-8E, but I assume they’re similar. It is the only aircraft that I remember experiencing something like this in. However, some prop aircraft are very twitchy especially under WEP or under certain combinations of control input. I’m pretty sure the F8U and A-7 derivatives have flight models that are deliberately slightly unstable in normal level flight requiring a much higher level of flight input than most other jets.
For test flights, make sure you have it in simulator mode. Otherwise, the Instructor smooths out the flight model.