YIKES! Yes...the better the player, the less luck is a factor but to say luck plays a very small role to the skilled player is...well, uhhh, ya gotta be kiddin' me, right?
Just sit and watch a match played by world class players and tell me with a straight face, that luck didn't have at least 25% or so of the determination of who won?
You have factors such as whether the cue ball...after being "parked"...is knocked into a pocket, whether a ball went two or three rails and then ended up being hooked by 1/16th of an inch, whether the object ball, after being struck and happen to miss the pocket, contacted another ball and then got close enough to another ball to create a small cluster which needed to be broken up and so on and so on....it is endless.