He does control the outcome more than any other players. But he doesn't control the outcome.
Again, I do think wins in the Super Bowl has a say in this argument, just not as much as you. (Hypothetical coming, sorry) - If McMahon stayed healthy on the 86 Bears, and then won back to back Super Bowls, would it be right for him to be in this conversation? Every other QB with 2 rings or more IS, so logic says that he would be too. But he clearly is not as good as most of these other guys. It's about winning, but winning games really isn't in your control.