White Knight, those tailwind figures you are playing with, for take off for example: are they with MTOW, what ambient temp, what length runway? Have you ever done performance graphs? Your figures are meaningless twaddle. Hey the B727 can do auto-trim too how about that? But ask too much from it and you could have runaway stabilizer to make your day.
A lot of things could have gone wrong if the guy didnt actually screw up on the GA. He could have applied the power too late and the stick pusher compensated to prevent a wing stall. Could explain Alitalia's guy saying he saw a nose dive. (or does the clever Airbus not do that with all its spatial awareness?). He could have had assymetric flap on retract, compressor stall, fuel blockage (as in BA 777). Look at that Air France that mowed some trees down doing a go around on a demo flight on the A320. Dont know what happened precisely, but that was automation gone mad. So keep an open mind guys.