Binoculars do indeed offer me stereoscopic depth perception for a significant portion of their focal range. To say they don't is not correct. I understand well how stereoscopic vision and depth perception works, including all the other cues we use for depth perception. There are significantly more than the 2 you mention. I've experimented extensively with stereo photo pairs, and several other ways of simulating depth perception from flat surfaces. A stereo pair of images from a drone, with exaggerated spacing is quite spectacular to view.Got it on the light and compact, but binoculars do not offer depth perception, they offer accuity improvement because both eyes are in use.
Depth perception is based on two things: convergence of two eyes with slightly different images due to the difference in angle to the subject, and what is essentially focus feedback, you can tell where you eye focusses. The difference in angle as a 3D component fades after 30-50', when the angle is too small and the left and right images are virtually the same. In binoculars, because the target is always farther than 50', the angle difference between eyes to the subject is mostly too small to provide much useful difference image, even though the actual lenses are spaced farther than human eyes. The focus distance feedback is bypassed by the focussing of the image in the optics. So mostly, the advantage to binoculars is the improvement in accuity by the use of both eyes. There are, for example, binocular eyepieces on monocular telescopes for the same reason, though the trade-off there (and the reason they aren't used much) is they split the light path reducing the total light delivered to each eye by less than half.
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