I will study her work. I think that what's interesting about players like Mizerak is that his eye movements were not quiet by any means, but they were coordinated and not random. That's where I think that the quiet eye theory falls short. It may address the difference between random eye movement vs. eye stillness. But what about coordinated eye movement?
Hand-eye coordination is a term that comes to my mind.
I very much agree that there is some sort of pre-shot routine that should be implemented for hand eye coordination. I have found (n of 1) that the following procedure improved my ability to pocket balls.
Stare at the contact point as I step into and bend over the shot to fix the target in my brain until I am all the way down. The appearance of the target changes as one bends over and the final target is seen from the shooting position.
Place the cue stick on the table to locate the vertical center on the cue ball and sight through the dead center of the cue ball to the intended target.
Adjust for English as needed.
Check for a straight stroke through the cue ball to the target. Three strokes are needed.
Shift focus to the target during the third stroke and hold the object ball target for three (or more) seconds while stroking about two more times. The first few strokes are to check cue stick alignment. The last few strokes are to check stick - target alignment.
Pause on the back stroke and then let it go.
As can be seen I shift focus from object ball to cue ball (and stroke) to final focus on the object ball.
I think these shifts are needed to place the target in the hand - eye - brain coordinating system. The brain needs time to place everything in line and that is why I stare at the contact point last and for enough time that my brain has the time to coordinate everything. Vickars is right, in my thinking. The brain needs time to adjust for the final target.
Sounds like a complicated process, and it required much training. It is a sequential process and to someone standing beside me it might look like it was all going on at the same time. It takes longer to state what I do than it does to actually do it.