The evidence shows the vast majority of their passes are short. In fact they throw more around the line of scrimmage than some spread teams like ND or Baylor. But, you're taking a YPA number (that includes incompletions and YAC) to prove that when Saban throws he likes to throw deep.
By the way, even Yards Per Completion (also including YAC) is basically identifical. 13.06 for McCarron versus 12.86 for Golson. But hey, Saban once said something about liking to take deep shots, so that must be his approach.