If an alcoholic isn't interested in taking care of themselves, then how can an alcoholic be interested in taking care of their children?
I think Zozo has hit the nail on the head here. Alcoholics - and narcissists - can see other people more as appendages than separate independent people. He can't take care of himself and is getting worse. There is little hope that he can understand or be a stable parent.
But, on the other hand, seeing the children for the weeks he has visitation is something; he has not abandoned them.
ShootingStar1