Like Daryl, my eyes change dominance. Even when jumping quail or other shotgunning activities, if I don't close the left eye (to make the mind concentrate on the right eye) during the mount move, I am liable to shoot 3-4 feet left as the left eye is looking over the front of the barrel.
Sooo, when shooting sights, I close the left eye, get the sight picture and then shoot with both eyes open.
TC