I hope it works out, you're giving him a very generous chance and I hope he sees that.
The disease isn’t alcoholism, but rather addiction. The question that should be at hand is, is addiction a disease? I don’t have the answer but I do not think it is as simple and basic as “just don’t do it” in all cases. Yes some addicts can just stop and move on. Some cannot.
From my experience, many people seem to have some kind of psychological need to rely on substances as a crutch. Those of us without these addictive tenancies can just stop doing a thing, not really miss it and get on with our lives. Others will jump from substance to substance. I know one guy, stopped the booze after too many dui's and jail time, he replaced it with drinking 12+ cans of coca-cola per day. Another guy I know stopped smoking but replaced it with eating god awful amounts of candy per day. More variations on the same theme.