The cause for this for many (if not most) people is not having one's "vision center" aligned properly. That was certainly the case for me several years ago, before I fixed the problem. If you or others want to diagnose whether or not your "vision center" is properly aligned or not (and fix the problem, if you have one), the drills and info here can be useful:
vision center resource page
In my view, it is not important which eye is "dominant" or not (for more info, see the
dominant eye resource page). All that really matters is having your personal "vision center" aligned properly and consistently. Now, having said that, for some people (e.g., those with an extremely dominant eye), their "vision center" might be with their "dominant eye" over the cue.
Catch you later,
Dave