JW411,
I disagree.
The incident under discussion did not occur due to a lack of hand flying skills. If anything the mishandling of the missed approach was caused by a lack of familiarity of how to use the automatics. The captain could have hand flown every exercise in every sim check for his whole career but that would not have prevented this incident.
At my airline we are encouraged to use the automatics as much as possible in any non-normal situation to free up capacity to manage the event and make the important decisions.
As others have already mentioned, the problem here was attributable to a lack of training/practice in a basic procedure i.e. 2 engine go around. Added to a certain amount of home base complaincency / lack of rigour (and what pilot can hand on heart say they have not been guilty of that from time to time).