Although a stuck AoA sensor is also going to have a very characteristic signature - no change in reported AoA. A working AoA sensor will always have some noise

Although a stuck AoA sensor is also going to have a very characteristic signature - no change in reported AoA. A working AoA sensor will always have some noise in the signal as the air buffets the plane. Similarly, if you maneuver the plane and the indicated AoA doesn't change at all, you can deduce the sensor is stuck and reject it (or turn on the heater, or maybe have a mechanical way to force the AoA sensor through its range of motion, etc).