I just saw a fun YouTube video on this: https://youtu.be/vFNgd3pitAI (at 13m). I don't know how sound their reasons are, but it seems pretty well put together.

Basically you'd see the same thing from multiple locations, as the light emitted closest to you will hit you at the same time light emitted in the past from further away reaches you. It would construct as two objects going in opposite directions.