This is like how a hundred years ago people opined how we hadn't seen the effects of television as a nanny yet. And now they opine as to how we haven't seen the effects of the plugged into the net babysitting yet.
They'll be fine. They'll be BETTER because the holonannys will make them do stuff their parents programmed them to make the kids do.
As to Catelyn.. her parenting pretty much ends with a male child as soon as he is old enough to train with swords and men. How well she may have loved either young Theon or Jon Snow we don't see, but we do we hear that they were lesser children of the house, and we know she resented Snow.