There were too many warnings already. That was the problem. More warning could not have helped. Instead, the fact that the pitot tube was inoperable should not have led to so many alarms, just one, and not an urgent one since the autopilot could have kept the throttle at its current setting. (Air speed is independent of land speed, and it's much more important to know the airspeed than the land speed, but wind speed is not going to fluctuate so much, so land speed can be used as a proxy for airspeed in that situation, and anyways there wasn't anything to be done about the lack of airspeed indication in that situation.)