chuckles, I think you misunderstood me as have several other posters here.
Firstly, the crew followed SOPs' (and training) by applying full back stick and throttle to regain the height from the upset caused by the autopilot disconnection. It would have worked but for the problem caused by the iced pitot tubes of which they were not aware therefore their actions caused the aircraft to stall. What the crew needed to do was to not follow their training (and SOPs') and lower the nose.
Secondly, the crew were not aware of the corrupted information coming from the pitot tubes. If they had been aware of the problem they may have approached the whole issue differently depending on their training.
The basic point was that the aircraft was not doing what it says on the box. All the fancy software that is designed to protect the aircraft was not working because of a problem of which the crew were unaware, and it would appear, their training was not sufficient to cover an alternative approach to the problem.