Is It the DH?

Much has been made of the AL's long reigh as the dominant league--in All Star Games, interleague play and, less decisvely, the World Series--and I was wondering whether an entirely ersatz innovation, the DH, was to some degree responsible. The Dh allows American League teams to stockpile quality players in a way the National League cannot do. to take one example, the White Sox eagerly picked up Jim Thome despite the continuing presence of Paul Konerko at !B, whereas the presence of Ryan Howard at 1B pretty much compelled the Phils into offloading Thome, who is too good a player to maroon on the bench. Over time and on a statistical basis, I wonder if this dynamic makes the AL better.