Yes, but Saban also said that this was possible because Michigan stopped playing their 2 TE sets, which they used for most of the 1st half. This allowed Alabama to establish an edge, which stopped the UM run game. Even Harbaugh talked about it after the game. You take what the defense gives you until they take it away. Rinse, repeat. UM didn't do that. They got cute.
Football is a pretty simple game in its most basic form. Blocking and tackling. In the first half UM played with 2 TEs and dominated the LOS. In the second half they played with 1 TE and tried to spread out Alabama. That helped Alabama get its best unit on their field, but UM did not adjust back to what Alabama does not defend well.
I would say that UM was outcoached by Alabama in the second half, but I really think that UM outcoached themselves. They made an adjustment that they didn't need to make. They failed to recognize their mistake (or were to stubborn to admit it).
Alabama still wins without that, but it probably would have been closer.