Definately not a Boeing v Airbus problem.
How about the fact that GA is not the recruiting pool anymore, its whoever can afford to "fund their own training costs" brigade.
The current airline I work for is a prime example( latest gen regional jet), 250hr f/o's who have paid for the privelige of sitting in the RHS and supposedly gaining a career as an airline pilot. Now, don't get me wrong here, the majority of these guys and gals have done an outstanding job of getting a handle on the jet, and when everything is switched on and nothing is taking them outside of the little square, they operate the aircraft just fine.
Recently a couple of us have been purposely taking a select few outside of the little square, with varying degrees of success. Some have actually handled situations very well(no F/D no A/T), but not consistently. Most have no idea what they should be looking at let alone trying to fix deviations, simply because they do not have a basic handling skill background, and have no idea how to hand fly the aircraft. It does appear that we are making some headway in getting these guys and gals thinking that its not just about pushing buttons(and interestingly, the more they handfly, the less button pushing!), but it will take a lot more time for these guys.
As has been already said, maybe the authorities have to start mandating more stringent "ability checks" instead of bowing to airline accountants.