Anecdotally, self-help is an effective approach not mentioned in the article.
Brandsma 1980 is the only study I can think of off of the top of my head comparing AA (and a few other therapies) to no treatment; AA (and everything else) did significantly better than getting no help.
What this new Cochrane study demonstrates is that AA is more effective at giving alcoholics long-term abstinence than traditional psychotherapy treatments.