smok'n Joe,
I will never question your statement nor your experience, however if you declare yourself eye cross dominant and you shot all your life on the non dominant eye side same as your handedness is hard to believe that you are indeed eye cross dominate.
Here is why. eye cross dominance(when exist)) come in place when we mount the gun. Once we have the gun to our cheek the gun can be in our central focus , if we look at the bead or in the peripheral vision if we look at the target.
On both cases the gun is there and can't be eliminated from our vision.
That being said, if we mount the gun on the side of the dominate eye,the gun target relationship is the real one b/c the barrel is the line that connect the eye with the target.
If we mount the gun on the non dominate side(is your case)and the dominate eye is on the other side, the gun target relationship can't be established b?c the gun is not lined up right to the master eye.
The only way to shoot having eye cross dominance is to use a blocker on the dominate eye side, which won't allow that eye to participate in the gun target relationship.
From my experience, many encountering cross firing,accentuated double barrel vision declare themselves"eye cross dominate" which are other visual issues.
A bad gun fit can give you the false impression that you are eye cross dominate
Considering all solutions to overcome eye cross dominance like, dot tape, patch, wink,ONLY the XDS ( cross dominance solution)allows two eyed shooting
with full binocular vision. The other ones cut the binocular vision( two eyed shooting) to monocular vision( one eyed shooting)
Preserving the two eyed shooting,the XDS Is effective in cross firing and accentuated double barrel vision also.
Many can't have dots, tapes, patches or wink B/c of side effects.