I think I have mentioned this before, but if an aircraft is pitching down after encountering a deep stall and has a significant pitch rate going while just getting into flying airspeed range, it is quite possible to overshoot the flying attitude and enter a negative g stall. If CG is aft & static stability is low, and with high enough pitch rate, you may not have enough control authority to stop the pitch down motion before stalling in the opposite direction.
Several military NATOPS manuals specifically address this point in stall and spin recovery.
Here is another situation where an AOA indicator gives you some warning before you actually float out of your seat that your AOA is approaching the normal range. Otherwise, when do you stop pushing the nose down?