I have to say, if I was renting a room in my apartment and someone told me in the interview that I should know they were a recovering alcoholic who went to meetings several nights a week, I wouldn't give them the room. Sort of in the same vein as if they told me they were going through a divorce and would need to deal with a lot of legal appointments. The red flag for me (as the potential roommate in this hypothetical) would be the possibility of boundary issues. Instead of thinking "this person wants to be honest with me", I'd be thinking, "this person wants me to be their support system". Unfairly! I can completely see where you're coming from! But that's the impression it would give me.
Of course if you're going to ask the roommate never to have alcohol in the house, then yes you probably have to say something. But otherwise I wouldn't.