Debating how eye dominance affects hand-eye coordination in sports is almost as opinionated as debating religion or politics. Some say it is very important while others say it makes no difference. I remember reading a study done on baseball players at bat. The study was to determine if varying eye dominance patterns could be used to differentiate the players with higher or lower batting averages. It was concluded that eye dominance was not a contributing factor in determining whether or not a player would have a better or worse batting average than any other player. (These were MLB players.)
Your brain may favor the images of one eye over the other, but it still manages to create a balanced binocular assessment of what you're seeing. If not, you'd find yourself bumping into things quite often. The same thing happens in sports. Through repitition, your brain makes the necessary adjustments for proper hand-eye coordination. Some people have no hand-eye coordination, regardless of eye dominance or no eye dominance, because they've never worked on any skill requiring such coordination.
I guess what I'm saying is this .... through practice we program our brains to develop certain skills. If you're right-eye-dominate and play enough pool with your right eye directly over the cue/aim line, then your brain will build upon this particular visual perception. If neither eye is directly over the cue, regardless of which eye is dominant (or if no eye is dominant), then your brain will use that perception to build your skill.
Your brain may already have a visual preference based on similar hand-eye coordination skills. This is what really matters. The results of that baseball study suggests that eye dominance doesn't necessarily play a major role in determining skill proficiency.
Try this: Set an OB on the foot spot and then place the CB about 18 inches away from it, lined for a straight shot into one of the side pockets. With your dominate eye positioned over the cue/aim line, shoot the shot 10 to 20 times. Use a center ball stun shot, medium firm, no engilsh, no draw, etc... Pay attention to any misses to see if you have a habit of hitting left or right of where you are aiming. Now repeat this test with the cue lined directly under your nose or chin, one eye on each side of the aim line.
Which feels better? Which produces more accurate results? Do both options produce equal results? That's probably the only way to really figure out if eye dominance is an issue for you. I don't have a dominant eye, so this is interesting stuff for me. Please let us know what you discover.