PBL and NoD,
I’m not sure you realize the central position Airbus gave to the AoA data.
Pilots don’t fly the Airbus on AoA, BUT the AoA data are the core of the main protection features of the Airbus.
As soon as the AoA data show a discrepancy , it is a the most common sense duty for the manufacturer to clearly advise the crew. At this point the crew will proceed as politely as possible to the end of the flight.
Even better, the crew should be able by a single switch to disable all protection features, making sure they won’t interfere based on faulty information.