I've heard many a person introduce themselves as "addict, alcoholic" in meetings. We're just there to offer support, but we are indeed specifically talking about alcohol in AA. Of course many of the same issues of addiction apply. It's possible to get a lot out of the meeting by listening to the issues surrounding addiction - not just talking about the nature of the use.
I went to an NA meeting once as an experiment because I wondered about this very question - they were a very friendly and welcoming group - I know I was glad I wasn't turned away because I was from the "other fellowship" as they called it.