Would the capabilities be lacking if we weren't designing the planes with the intention that the pilots at the controls were there to take over in an anomalous

Would the capabilities be lacking if we weren't designing the planes with the intention that the pilots at the controls were there to take over in an anomalous situation? A lot of people are citing the frozen AOA sensors on the Airbus flight a few years ago as a reason that even a perfect AI would make mistakes, but why did that particular sensor cause the autopilot to drastically change approach? Shouldn't inputs from GPS, Altimeter, and gyroscopic sensors contraindicate the external AOA sensors? What information did the pilots have that the computer system didn't to let them know to change the behavior? We all know about situations where the pilots intervened to prevent an issue, but are there opposing situations where the sensors indicated an issue that the pilots couldn't observe and they made an error? What are the hard problems that are really stopping complete automation versus the problems that we have right now due to not expecting complete automation?