It has been a while since I flew the A330 but there used to be a procedure that preset some of the flight controls if elevator redundancy was lost.I think it preset the ailerons upwards to counter the pitch up.The pitch up could be quite alarming when you had a subsequent failure.At high altitude you would rapidly be into a stall if you didn't react quickly enough.
I also remember an A340 I think it may have been an SQ one that did a similar manoeuvre when the crew switched off some of the hydraulic pumps when they were trying to balance the fuel!