I don't know that an ASW version of the V-22 would be a very efficient replacement for the departed S-3. Granted, the Osprey would have the ability to use dipping sonars which the S-3 obviously couldn't. But even if the V-22 does turn out to be a reliable aircraft, it still doesn't even approach the performance of an S-3. That, and the fact that the rotars on an Osprey make so much noise even compared to a helicopter, submarines may well be able to steer clear of an Osprey's operating area; with the S-3 often flying high and more quietly, submarines couldn't locate sub-hunting planes.
Another thing about the V-22: I am under the impression from some articles that I have read that the Osprey is much less efficient in the hover mode than a helicopter, and may not be able to match a helicopter's performance in that area. Perhaps someone who knows better could disabuse me of this notion.
In any case, I very much doubt that helicopters can handle the ASW mission alone, especially for carriers.
