I am cross-eyed dominant. I don't know how but I pick things up and automatically know which eye I should be using. A camera left eye, gun right eye, reading well that's an interesting thing. About 10 years ago my eyes started to deteriorate like all of us over 50. To compensate I just used a contact in my left eye for distance vision. My right eye for close up reading, etc with no correction. I became mono-vision. When I hunted I had a special contact for my right eye so it would start focus at the front bead and reach out about 40 yards. With big game I use 15/20 in each eye and adjust my scopes according. Now my right eye had deteriorated to the point I need a special contact for reading. The problem I'm having is the focal point from reading to using a computer screen is different and I haven't got the right contact yet.
My point in all of this is that I have trained my brain to accept different ways of seeing with each eye and I think if I can do it many of you should also be able to do it and train your brain to use the eye you want to use for the specific purpose.