Maybe an Olympic gymnast as well.
Even for slow objects it's a problem because being a few pixels off might make the difference between matching and not.
I would be surprised if all 360° cameras had synchronized shutters.
you don't need 'much' information. you know the distance between the eyes, and then you have the 2 lines from each eye to the object. that's called a triangle. do you know how to calculate the height of a triangle? because that's your distance.
Messing about with triangles is called convergence. The accuracy falls off quite quickly with distance, and it's completely useless out past about 10m. Your brain has much better sources of depth cues before that point.
There are at least another 12 mechanisms humans use for depth perception, only one (arguably two) of which uses both eyes. I'll let you do the googling.