In flight school lore, during a training exercise, a plane righted itself from "uncontrollable flat spin" after ejection. Basically, pilot input can fight against the natural stability of the plane's design.
Also:
> During a training mission from Malmstrom Air Force Base, on Feb. 2, 1970, his F-106 entered an uncontrollable flat spin forcing him to eject. Unexpectedly, the aircraft recovered on its own and made a gentle belly landing and skidding for a few hundred yards on a field near Big Sandy, Montana, covered by some inches of snow.