Not so fast.
The Automation was built to ASSIST mankind not to second guess him. The Automation was in Alternate Law (NOT in Normal Law) but still allowing it to ASSIST the pilots as in "YOU WANT TO GO UP?. My God you shall go up with all the might of this airplane (THS full up)". But the instruction from the pilot was and still is WRONG cause a High Altitude STALL will be imminent and guarantied, as it did. Machines in full automation do one (and that one might be composed of many, mind you) thing only. And if that one thing can't be performed at its fullest, it must relinquish control back to humans immediately. And in the AF447, that is exactly what the Automation DID as per DESIGN.
But the way, speaking of Automation in those less than 4 minutes of the tragedy, none of the three guys had the smart idea of trying to bring the Auto Pilot back on line and then if successful the Auto-throttle later. Someone should set an A330 simulator and emulate conditions as in the AF447 at level flight100 and throw the AP back on and if successful throw the Auto-Throttle just as well. See what happens. You know what would be funny but not really that so, don't you? Just in case, I am presuming that deploying the spoilers was a great idea of course
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Cheers,