I experience this occasionally. I shoot with both eyes open but I think my dominant eye overcomes most of what I see with the non-dominsnt eye.
IMO, both eyes open has many advantages with or without magnification. The superimposition of a level being just one. Red-Dots/RMR's, C-More, ACOG's all work quite well both eyes open. If you get to the point that you can shoot any of those 3 well, both eyes open, without thinking, just going on muscle-memory, you can shoot a higher magnification optic w/both eyes open as well. Might take a bit of trying/training to "get-there" but if you can do it without magnification, you can do it with.
IMO/IME, the biggest benefit to shooting a scope both eyes open, is the speed with which you can get a full view of the magnified picture and get your target into that picture as well. Your hands are doing the work both eyes tell them to do. They're simultaneously keeping the rifle close to on-target by taking info from your non-scope eye, and getting the rifle/scope placed properly in front of your "shooting eye".
Another benefit especially when shooting above 15x or so is that it takes a lot longer for your off-eye to "go-buggy". Look through a spotting scope or high powered rifle scope for say 7-10min and if your off-eye is closed, your 2 eyes will take some time to be able to focus together sharply, one (usually the off eye) will be blurry for several minutes. With both eyes open, you get a lot longer viewing time behind single-eye high magnification before the off-eye and dominant eye won't focus together.