Ian W,
Your implication is that they didn't know that they were in Alternate Law, and that if they knew then they wouldn't have zoom climbed.
May I suggest that even in Normal Law, it's a really bad idea to fly into protections anyway? And that therefore your suggestion is targeting the wrong area?
What pilots need is adequate training such that when bad stuff happens they don't start madly flailing with the controls, but they engage in a discipline which promotes diagnosis and then considered actions.
Adequate training will not happen until we can break away from the cycle of greedy airlines looking to sap the last penny from the operation, customers who will choose one airline over another to save a penny, and regulators who simply want a quick V1 cut, circuit, NPA to G/A and S/E landing.
Ironically, with the advent of safer, more "protected", complex aircraft - never has there been more need to ramp up the training. Old boys in crap aircraft were exposed to situations like this every day. Newbies now "fly" FBW+A/P from ILS to ILS day in, day out.