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Then everyone would. What is the difference between a bird flying 2m above the ground, and a 2m tall human? Do all directions seem parallel to you?
Yes, they do. In a distance all directions seems parallel.
Except that I don't deal with than many directions at once. I never see a bird flying to the West near the horizon, and a bird flying to the East near the horizon at the same time. A bird does see that at once. It sees how they fly apart of each other and fly parallel at the same time. It is counterintuitive for me, but not for the bird, I guess.
I can however, see two birds flying away from me, one to the North, other to the West, both far away. They become smaller and smaller, but the apparent distance between them remains practically unchanged.
I quickly rationalize this as an interesting illusion, at the most.