Would the automatics eventually recover from any condition resulting from a jet upset? Stall/Spin? Inverted?
For the layman trying to understand the pilot/automation interaction take a look at the XL A320 crash.
In this case partial retardation of the automatics due to Angle of Attack sensor icing caused a non-commanded pitch up to point of stall. The crew tried to push full forward on the stick but missed the indication that pitch control was now manual. They ran out of elevator and stalled into the ocean.
No suggestion this happened to Air Asia - but relevant when you ask if self recovery is possible.
Plane Crash Investigation | Mayday XL Airways Germany Flight 888T - YouTube