'Alcoholic' is a really useless, outdated, stigmatising word which conjures up images of people who can't function, who are shambling around and sleeping in gutters, falling down stairs etc.
There is an enormous gulf between that stereotype and someone who drinks more than they should, or can't stop when they've started. Morrissey is a heavy drinker by many accounts (not just Skinny's) but does he have a problem? I don't know. Certainly I have never seen him drunk on stage or in interviews (with one memorable exception when he was introducing Raymonde on a music show).
Ultimately you can't tell another adult how to live and you've got to wonder - if he has been drinking heavily for 20+years, why have we only heard about it in the past few? Was it the Noel thing? Or are we grasping at straws to explain this miserable decade of disasters?