My issue with the term 'alcoholic' is that it implies you might drink again.
If you're never going to drink again, how can you be an alcoholic?
I would say that calling yourself an alcoholic despite the fact you never consume alcohol is the AV in it's purest form, the Beast doesn't want You to lose Your identity as a 'drinker'
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There was a fascinating post in newcomers earlier where someone claimed that they had started drinking again as an 'experiment', I find it kind of scary hearing the AV in other peoples words sometimes.