If the player is moving their cue back and forth in a straight line there would be some sort of transitional pause, but not if they are looping their stroke. Upon closer look, what people refer to as the 'pump-handle' stroke, is really a continuous loop. I see the Filipinos do it and even Mika is doing it more and more. It's like running around a track or turning a wheel. You don't have to pause to change directions.
This pump handle stroke or looping stroke is like the stroke in a cars engine. In a cars engine, the piston stops at the bottom and top of the stroke while the crank is still turning causing the change of direction of the piston.
The cue tip is like the piston, the cue stick the rod, and the grip where the rod meets the crank and the arm from the elbow to grip is the crank throw.
The cue tip stops moving but the arm still can because of that rotation of the grip and arm like that of a crank.
The pause maybe very small, but its there. The length of the pause is determined by the speed of the rotation of the grip hand. Slow rotation, the cue tip pause longer. There can be no cue tip change of direction without a pause.
The cue tip must slow down before the pause, pause and then slowly start moving again. I say slowly because to try to make these changes instantaneously is not possible. What you would have is a jerky stroke and not a smooth one.
There are only two stop points in a stroke. One at the forward stroke and one at the back stroke. The thing is that where the stop point is on the forward stroke depends on if the stroke is a warm up stroke or the final stroke. On the final stroke the end point will be past the CB while on warm up strokes the stop point is before the CB.
No matter, there are only two stop points in a stroke. no matter what anyone else wants you to believe.
Time to go play with the boat and learn more about how to shoot pool.