The accidents that are occurring are because the crew is not recognizing the problem in time to take corrective action.
I totally agree with that. When speed gradually keeps increasing or decreasing without any warning the natural tendency to keep the FDs centered gets one in trouble. Requirement of any continual input to center the FD needs to be cross checked between the FD with the attitude. Once you recognize unreliable speed it's straight forward procedure especially at lower altitude as in JT610 case to maintain the climb attitude and climb thrust which I am sure they would have done it. Here the problem is false AOA and aircraft throws up unreliable speed and half a dozen other warnings but may not have included AOA warning. And while the crew is running the unreliable speed the stab is trimmed intermittently into the fatal dive. Accidents have happened with much less than that. The AA union office bearer's remark why nobody was flying the plane is silly and unfair at least at this stage.