MartinM: If I can make a small contribution to this thread. I have flown the A330 in ALT 2 LAW after a twin ADR incident due to icing conditions.
What surprised me was how "twitchy" the aircraft was, especially in roll. The handling was much harder than I had experienced in the simulator during training. We however continued to have valid ADI indications with which to fly attitude + power whilst trying to sort out the very numerous ECAM warnings plus alternating "Stall, stall" + overspeed warnings (spurious of course)
Why the crew should have applied pitch up inputs is a mystery to me unless it was a response to a perceived large overspeed but then why leave the power up?
As mentioned by other posters - the need to manually trim the THS forward is an area that is often seen to be missed by crew undertaking unusual attitude recovery training, especially from very high nose up attitudes and is, in my opinion, one of the few `real gotchas` about the aeroplane.