Tzfat, perhaps you’ve keyed on the problem:
“All US airline pilots train for automation failures. The training involves reversions, layering down, and relayering automation. No one can get a job flying an airliner in the US without flying skills.”
These pilots and those of Air France crash several years ago, were NOT trained to US standards.
The other pilot on the right was pushing the joystick forward, but the joystick on the left overrode him, and he didn't realize it. (Boeing uses wheels that are mechanically linked, so pushing one steering wheel forward always pushes the other.)
The official determination was pilot error due to failure to understand how the fly-by-wire A300 behaved whenever the computer kicked offline and went into alternate (mostly manual) flight mode.