I'm sure it's American airlines SOP,i've just never seen a profile like it.
Climb power 1500ft agl, accelerate 3000 agl. is all i can recall on many types in 22years.
That would be Noise Abatement Climb profile.
Quite a few US companies go for clean machine at 1000' unless a Noise Abatment profile is called for.
As for the topic on hand:
I have been through the AA course recovering from unusal attitudes. There was nothing there about slamming the rudder from side to side, but rather using "top" rudder to help bring the nose around...If needed.
Keep in mind the A-300-600 that crashed had the vertical tail damaged at the Airbus factory before delivery to AA.
Perhaps a factor in the accident....?
