I can't find the article, but I know it came out at some point that AA was very heavily into advanced stats early in his career (well before he became GM). He understands them, count on it. He's also said (from 2011 BP article) that when he became GM the Jays were extremely lacking in using stats, but he's been trying to build that up gradually.
People around here tend to get a perception of something in their heads and then go off the deep end with it. AA may not be into stats at the same level as Beane (most aren't), but he isn't an old school dinosaur either. I think he also said recently that he listened too much to some of his advisers in the past and ignored his own beliefs, and that he needed to be a little more firm in listening to his own evaluations.