In my airline we teach students to keep their hands on the sidesticks until 10,000ft AGL regardless of whether the AP is ON/OFF.
I think that's an excellent idea when the AP is OFF, but counter-productive when AP is ON. By the same logic do you also teach students to keep their hands on the TLs when the autothrust is engaged up to 10.000 ft? I mean just think what would happen if the Auto Thrust suddenly disengaged!