Perhaps we could have avoided them with the benefit of an AoA indicator. AF447 not only lacked that, but also any reliable ASI.
If AoA is used for various control law functions, but is not available to the crew for their scan (if I understand you, there isn't an AoA gage in the A330 cockpit) then it appears that any flight deck crew is set up for a curious struggle with the robot when increasing AoA is in play.
What you suggest, however, is scary to me. With quite likely an unusable airspeed indicating system, lack of an AoA indication leaves the flight deck crew without a back up/input into their situation within the airmass, beyond their knowing "something isn't right" and perhaps the VSI indication of "we are falling" as their point of departure for corrective action.
Did I understand you correctly?