I agree with Randy.
But if you look a little more carefully at the last ten seconds of the video (the slow motion stroke),
http://youtube.com/watch?v=hbnxQWe_OTg
you'll see that Mr. Massey actually
raises his elbow an inch or two on the backstroke and then
lowers it a similar amount on the forward stroke.
What Mr. Massey is doing, imo, is getting a little bit of pivot about his shoulder to contribute a little bit to the speed of the shot.
Where Mr. Massey differs from virtually all of us, including most pros, is that he is able to do these subtle things to get the benefit of increased stick speed
without paying a bigger price on the tip-ball contact point.
The longer follow through (the major elbow drop) occurs after contact and contributes nothing to the shot. But I believe it's more comfortable for him because even though his forearm is essentially vertical at contact, he already has some motion about the shoulder.
In any case if a person's goal is to win international draw shot competitions, then he or she might, eventually, benefit from such techniques.
But if a person's goal is merely to become a world class pool player, then I see no reason to mess with this sort of thing at the expense of other more productive uses of his or her time