I kinda disagree on that AH (sorry!!). Alcoholics are alcoholics whether they drink or not. My father was/is a dry drunk. Whatever imbalance in his brain that makes him an alcoholic is still there.. he just doesn't actively act on it, but the personality things are still there. Now, if he had one beer tomorrow, he'd be buying a fifth of scotch the next night. Either he controls the alcoholic urge entirely or he doesn't.
The same with other addictions I think. Growing up in a highly addictive family (my mother is a recovering gambling addict, 8 years "clean"), and having been through a lot of ACOA, Co-dependent's Anonymous and even having done some GA myself... the addict isn't necessarily about the drug itself.. it's about whatever they get from it. GA folks describe it as "more".. they're chasing "more".. More "what" no one can quite say, it's just "more".
I think you'll also find alot of addicts who get "clean" develop other, albeit "healthy" addictions.. Overeating, overspending, shopping, compulsive collecting of some sort.
It's hard to explain... but I think, in most addicts, there's just a chemical thing in their brain that if given the opportunity/means, they'd become addicted to whatever...