Cameras lack any perception; perception is a function of brains.
But a single camera with appropriate processing can provide a wide array of depth cues (stereoscopy adds more.)
> Many people report that they become susceptible to tripping, falling, hitting objects, or just straight up walking into trees with NVGs, in part because the loss of depth perception takes such a toll on their brain that they can't adapt in time.
While loss of depth cues plays some role here, a much bigger factor, AIUI, is the narrow field of view. “Panoramic” NVGs have around 100° horizontal and 40° vertical field of view (non-panoramic NVGs often have around a 40° horizontal FoV), people have around (with eye but not head movement) a 210° horizontal and 120° vertical field of view. Looking directly ahead with even panoramic NVGs as you normally would without them, you literally cannot see lots of things, especially tripping hazards, and objects to your sides that you might laterally move into to avoid the things you can see in front of you.
The reason people become clumsy when using night vision devices is because they have a tiny field of view that only moves when your head moves. You can close one eye and walk around just fine. But if you attach two toilet paper tubes to your face, you'll have trouble balancing and avoiding obstacles. The clumsiness is caused by the lack of peripheral vision and the inability to quickly glance (since the only way to change what you see is to turn your head).
Humans do get very clunky and slow when that depth perception is taken away. One example is night vision goggles which basically just project a flat screen onto your eyeballs. Many people report that they become susceptible to tripping, falling, hitting objects, or just straight up walking into trees with NVGs, in part because the loss of depth perception takes such a toll on their brain that they can't adapt in time. It takes hours if not days to fully adapt to NVGs, and even then you can't operate as quickly as you can in daylight unless you practice consistently (think SWAT or Navy Seals type training).