I will pollute this thread with some musings.
It has been ordained in the US that carriers are strongly encouraged to create training modules for AQP on revised stall recovery.
The last one I did in training involved allowing a auto thrust failure while operating at 370 in B737-400 classic. This was to allow the aircraft to get well into the stall at altitude before effecting recovery.
The surprise is in the effort it takes to significantly reduce the pitch and angle of attack on an out of trim nose up aircraft at FL370. There is a real push required and additionally when you push up the power there is not a lot there and it takes a while to get spooled up.
You will end up giving up quite a bit of altitude to get things right. Try to recover too soon and the buffet starts right in. The aircraft does not respond as quickly as it does down low. Maintain altitude? forget it!