An orthographic projection onto a screen is still a projection, it is not area-preserving, so it is not perfect just like other maps. But unlike other maps you

An orthographic projection onto a screen is still a projection, it is not area-preserving, so it is not perfect just like other maps. But unlike other maps you have the option to rotate any place on the map into the center where the distortions are minimal. Plus humans have intuitive awareness of how looking at a sphere distorts things, which is something other maps obscure.