Pretty much everything you've said above is flatly wrong.
The idea that the incoming signal does not contain depth information is false. How do you think the eye figures it out? It figures it out because light signals have direction, which gives a different view in two eyes. This is depth information. You look at the angle from which a signal comes, in one eye and in the other (triangulation).
As I said before, there is quite a lot of work with robots that do depth perception using binocular vision, just like we do. They don't use magic; they just use the incoming signal.
You also get a much less effective depth vision with one eye, by changes in focus; which is pretty much the same thing but over the space of the retina rather than the space between two eyes. It is, of course, nonsense to say that covering an eye changes virtually nothing. It kills your depth perception, and that makes a huge difference, as anyone who has an eye out of action for any time swiftly discovers. You need stereo vision to get at the depth information available in light coming from some object.
Getting back to the point of the thread. The transparency of air is a physical aspect of light signals passing through air. The transparency of air is a property of light and air, not of the eye and mind.