Isn't that basically the same thing?
Besides, there is an angular difference, although it's very small. If two different points are looking towards the same thing, they kind of have to have different angles don't they?
No. Our eyes (by "default"), look straight forward and are about two inches apart. The difference between where our eyes are is why we can see 3D objects. Our eye muscles control the angle of our eyes, and we use this angling ability to focus on a central point. If you were to completely relax, you would see two separate images, not have a 3D fov, because your line of vision for both eyes would be parallel. Therefore, when taking these pictures, it would be more natural to take each picture without changing the angle, because your eyes do that work for you. You can technically rotate the camera in game, but it wouldn't seem as natural as the other way.