A decent autopilot will have a go-around button which will put wings level and capture a sensible climbing speed. If the pilot in this incident had had such a facility (and known how to use it), we wouldn't be reading about it..
It's easy to forget that a prime cause of disorientation (from our sim training experience) is inadvertent deselection of the AP's because some wizard of a designer put two buttons on the cyclic that pilots confuse regularly, one de-couples the FD and the other (curiously labelled "SAS REL") will simultaneously remove both AP's. The subsequent melee is very exciting IMC and no amount of GA button pushing will help you. If only they had organised the 'AP Release' (my chosen new title for that button) so that one push takes out just one AP and a second push remove the other AP then guys would not get themselves into that situation.
So the message is that you should develop a good recovery strategy for unusual attitudes and practice it regularly in the sim. Forget the GA button, despite the statements in the RFM it may actually add to your problems rather than solve them.
Note - this may not apply to all types but check out your own systems before signing up to the "The GA button will save my life" club.
G.