A/T is inhibited for a few seconds on Boeing 777 if wheels have touched the ground - you have to shove the throttles forward if you want to get out of trouble PDQ
surely to get yourself out of trouble you want some power PDQ?
I am sure this will point to the interface of reliance on A/T and wheels on the ground sensors whereby A/T is inhibited for some seconds unless you shove the throttles yourself in a TOGA situation - which is flawed automation in my limited brain - it leaves open as it did in other accidents the crew thinking everything will be done for them and the plane will not crash