There's also some simple physics involved. Every action has an equal and opposite reaction. Draw on the cue ball imparts top spin on the object ball. This top spin can affect how the object ball comes off the inside rail of the pocket and cause the ball to jaw whereas a center struck ball at the same speed would likely fall.
This is not an entirely true statement. When the two balls collide the object ball skids away before taking the table's friction and turning into roll. If any top spin could be imparted it would be negligible to the shot.
randyg