Getting rid of offensive zone face-offs would speed up the game, reward attacking teams, and increase scoring.
You know the scene: two teams slowly skate over to the face-off circle to the left of one of their goalies. The centres hunch over, hands sliding lower on their sticks for leverage, muscles tensing. The wingers engage in a heated battle for space at the edge of the face-off circle, trying to gain any tiny advantage they can. The official readies the puck above the face-off dot as the centres stare at it like a hungry dog spotting a piece of fresh meat.