Is the "Dominant Eye" concept a valid one?

Q: Randall writes "I was told by an instructor that because I am right handed and left eye dominant I should use a putter with no shaft offset. I've tried that kind of putter without any noticeable difference in my putting. Do you think there's any validity to that theory?"

A: Randall - Great question!

I've discussed the dominant eye concept with many instructors.  The consensus answer is that we see the line best when the ball is under our dominant eye.  For left eye dominant, the ball would be more toward the hole than for a right eye dominant player.

The offset puts your hands forward of the ball.  Since the ball is forward because of the dominant eye, then it seems that less offset is good logic.

Let me know about your tests.  It is interesting to me,