At the very least, this data would be accurate enough for the flight director to apply power and pitch within known safe ranges for the altitude (e.g. N= 85% and pitch = +5 degrees), keeping the aircraft in normal law rather than just "giving up".
The real underlying issue is the failure of the actual pilots to apply this same fundamental logic. At the end of the day the inability of a "trained" flight crew to keep a perfectly functional airplane from crashing due to a known and relatively minor technical malfunction is simply unacceptable. The answer is not in better automatics but in better truly qualified flight crews.