I too can see things in 3D. That are suppose to be 2d, sometimes when staring at my ipad, wallpaper, the apps separate from the background, and the image becomes 3D or the words seperate from the screen as a type. Usually I get lost in thought and am looking at just one thing when it happens. Its so cool to see it, no 3d glasses, necessary.
the theory about one eye being stronger to perceive, may be true, I typically wear glasses, nearsighted and one eye is stronger than the other period. This only happens when I am not wearing my glasses, not wearing glassses means they are unequal in the vision perception, as prescription eyeglass evens them out. So theory might be true, as the spatial distance is not perceived while I wear my glasses.