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Don't you lose all depth perception doing this?
No, if you've had stereoscopic vision in the past then your brain can always do depth perception, even if you lose one eye completely*. The vision in my right eye is dreadful due to keratoconus but I don't have any problem with depth perception.
Depth perception is only a problem for people who've never had stereoscopic vision.
* An old colleague of mine lost an eye at 12 or so. He's able to drive without a problem.
Don't you lose all depth perception doing this?