It seems an eminently sensible corporate policy to exclude such people, and the CV stage would be the place to do this. Corporate policy is not there to say things like "No pilots with an incident/accident or accident in their history shall be employed, except for those whom other pilots think are good eggs." The lawyers would laugh themselves all the way to the bank.
Does it? Would they?
So Captain Sullenberger and First Officer Skiles, who would also presumably be precluded on the same basis, should also be prejudiced in this manner for being involved in a ancident where they were not at fault and their actions resulted in massive savings for their employers and in turn for their insurance underwriters. These insurers would likely underwrite airframes for many airlines all around the world, and should be down on bended knees applauding the actions and results of these individuals skills and performance.
Accidents and incidents do not mean that the victims are the perpetrators or the cause or the fault. Only the timid and blinkered would be so myopic. A myopia and paranoia no doubt enhanced by sad and sorry images of airframes that came to grief on runways and hillsides where their own training and corporate culture was woefully lacking.