I think the problem is that moving air (such as an updraft) can alter the angle of attack independently of the pitch angle. That is important during landing where low thrust levels are set and the air is turbulent. But in other phases of flight it should be possible to keep the aeroplane stable using know thrust and pitch settings and ignore air speed and AOA sensors completely. Of course that requires fully functional control surfaces and engines. Maybe it would be better to remove the erroneous sensor type completely and have procedures that can cope with that.