In this example, the only difference between the lenses is the angle
of view. Perspective is the same because the camera is not moved.
If you crop images from the wider lens down, to cover the same angle
of view as the narrower lens, then the difference has been eliminated
and they become the "same".
No they dont. Cropping doesn't change the angle of view. It only
restricts what you see with the same angle of view. Cropping is like
looking through a 6" square hole cut in cardboard held at arms
length. It doesn't change the angle of view. The 200mm at 100ft has
the same angle of view as the 20mm lens does at 10 ft. Increasing
focal length increases the angle of view which has the effect of
visually bringing you closer to your subject.