If there's any chance of correcting the problem with a "patch", you'd have to wear it all the time for--well, I don't know how long. Not just when shooting or dry fire practice.
I don't personally know anyone who has switched eye dominance that way. In place of a patch, I tried scotch tape which blurred the left eye, but I soon gave up since I didn't like walking around dizzy all the time.
As I see it, SD shooters must practice with the same sight picture they'll have on the street with their normal eyewear. No patch to change eye dominance-- no special glasses so your sights are clear--fuzzy on the street, fuzzy on the range.
Target shooters who wear special glasses, to get a clear sight picture, excepted, of course.
You can simply move the dang gun over to the dominant eye. Yes, I know, you have turn your wrist so you're using a slight H grip, but many shooters have to do that anyway to reach the trigger properly.
If you shoot Isoceles (which I don't) then it doesn't much matter which eye is dominant.
If swithing from right to left (or viceversa) handed shooting works for you, ok. It isn't for me.
When I developed a condition called central serous in the left dominate eye, the right eye quickly became dominant (after twenty years of x dominance) but I don't shoot one bit better.
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