I found this podcast which gives some interesting insight into how we can have depth perception using only one eye. Apparently, the middle temporal area of our brain helps process information from even one eye, in a way that allows for some depth perception. The information is comprised of visual clues and multiple images. Wait - how can there be multiple images with only one eye? Because the one eye is moving, it can establish a sense of depth using perspective, speed, and even processing multiple images as the eye moves.
This is fascinating research that shows another cool way in which the brain can adapt and compensate. So even if you are struggling to get your binocular vision functioning, doing depth perception exercises will still help train your brain to better interpret visual cues to create a sense of depth. There are people who are able to do this at an extraordinary level, the most well known recent case being Isaiah Austin, who, before he was diagnosed with Marfan Syndrome, would have likely been a top NBA draft pick, despite having only one eye.
Age well my friends….