I don't think he was saying that computers exclusively run the Airbus. He's saying that the failure of the autopilot in a difficult situation leads to a cascade of problems that can be harder to deal with in the more simplified Airbus cockpit.
For example, this statement from his article is misleading:
The computers are programmed with some strict rules (in fact, Airbus calls them “Laws”) designed to assess the human commands from the flight deck – and veto them if they would put the plane in harm’s way. Point the nose too high or too low – or bank to steeply and the computer will correct your bad airmanship. Who’s in charge here?