What I see are 2 different schools of thought at play here. With Avert or mindfulness one assumes the role of non-drinker. With mindfulness the cravings aren't entertained because you're a non-drinker and there's nothing to debate. What you really are doing is seizing control of the power that is an innate part of all of us. That is the power to say no.
Others believe that they don't have the power to say no and they can only acquire it through supernatural forces, otherwise they are doomed to a life of constant relapse. The thing is though that through working the steps they do discover the power that was always there. So the million dollar question is was the power always there or was it bestowed upon them as a result of working the steps? That's like a zen riddle, how can you really answer that?