Good post! I too have looked through a ton of optics as well. For binos, the crowd I hang around with swear by Leica, and those are truly excellent, in many ways. Seeing better with two eyes is natural to all. Seeing with one eye takes a bit of training. Some say that seeing through two eyes gives you more detail, 3D, perspective, etc. This is mostly true at short ranges because of parallax and so on. At 1000 yards parallax and all the other stuff with binocs is a moot point, they are, like most land observation optics, focusing at infinity.
That, said, I go a little bit further than 1300 yards, like through the whole of the atmosphere, say ~ 9-miles. At that point, optic quality and atmosphere distortion is measured in arcseconds. Those are 1/60th of an arcminute (1 MOA). In that business, when it comes to "seeing", and astronomical term, the difference between shooting images and packing it in is anything greater than 1.5-2 arcseconds on the widest telescopes ~70 to 106 mm objective lens diameter. And those are little, very expensive,. wide angle telescopes.
About you being able to see all that you claim I can't speak to your location. In my neck of the woods (Florida) it is as bad as it gets during the day because of the heat and humidity, Mileage varies.....
Want to see some really good binocs with outstanding optics? I have just the picture:
These on the left are Fujinon 16X70s, next to my goto Nikon Monarch 10X36s. They have 70mm objectives. Objectives lenses are important. That's where definition ( Rayleigh criteria) makes a difference. The larger the objective, the more definition - simple. Not quite. In bad seeing it can work against you.
Those Fujinon scopes are just too big and too heavy for anything other than binocular tables. They were made to be for used on ships, on bridges with binoc tables. Very accurate but @ around six or seven pounds they weigh just about as much as light rifles. Optical quality? spectacular. If you look closely you will see that each eyepiece focuses independently. That's unlike smaller binocs that use a center focus and a one eyepiece diopter.
All the Best,
JAS