The difference between the face angle and the angle of attack is the spin loft. The greater that is, then the more spin there is
imparted on the golf ball.
If two golfers have the same swing speed, hit the sweet spot, with exactly the same driver, but have different angles of attack, then the ball will travel a different distance courtesy of the different spin rates and launch angles created. Same golfer and just 500rpm of spin reduced and we could be talking 15 yards.