That account seems a little bit biased. It describes the co-pilot Bonin as "inexperienced" and implies he shouldn't have been left on the flight deck. Although he'd only been flying A330's for a year, he had over 3,000 flight hours in total.
The article goes on to quote in many places the book by Jean-Pierre Otelli and states "neither Bonin nor Roberts has ever received training in how to deal with an unreliable airspeed indicator at cruise altitude, or in flying the airplane by hand under such conditions". When I used to fly myself and did a basic instrument rating I was taught that - and that was just in a Cessna, so that sort of scenario would be tested regularly by the airlines.
Ultimately though the pilots didn't trust the information they had available and hadn't realised that over time the aircraft had slowly been pitched up. Coupled with the fact the captain didn't actively take command when back on the flight deck meant they weren't in a position to make the correct choices sadly.