If the pulley is out of alignment we can assume that its axis of rotation is no longer perfectly centred, in other words, it is slightly eccentric. Thus, as the pulley is rotating, there will be certain points where the radius of the pulley is greater or lesser at the point where it contacts the belt. What is observed is an oscillating movement of the tensioner.
The pulleys immediately next to the tensioner don't cancel this effect - the belt is a set length, we know its 1580mm, the only way we could obtain more belt "length" is move the tensioner against its spring pressure - this is what happens when an eccentrically rotating pulley passes through its larger radius.

