perhaps they look less chaotic because the rays at each point of the the ring when reconstituted was not emitted at the same time, so the picture we computed is

perhaps they look less chaotic because the rays at each point of the the ring when reconstituted was not emitted at the same time, so the picture we computed is a reconstitution of a large spread of time during which movement of the stars in the galaxy blurred substantially giving the impression of a more homogenous and orderly galaxy (a chaotic galaxy at astronomical shutter times might look orderly)