Depth perception? I would think objects as far away as the moon shouldn’t produce a meaningful difference between the left and right eye. But that does tell your brain they are far away, so perhaps that’s what you mean.
It's not really depth perception, but there is a significant difference in how objects are perceived when looking with both eyes. It's also applicable to binocular splitters used with a single mirror/lens telescope.
Your brain can also do 1+1 and end up with 2.5 or even 3 in the brain :) I have really bad eye sight on both eyes, one can not see enough alone but both together see much better than I would expect on the same distance.
