The Sun is a DirectionalLight component, your direct light, which to simulate a time pass would need to be Moveable. The indirect light is provided by another component called SkyLight, which usually will be set the same and your Sun (if Moveable, then SkyLight is also Moveable, and so on). You could have the SkyLight set as Stationaty while the Sun is Moveable but it might not work OK in night time, since the SkyLight will inject too many light into the scene, unless is desirable.
I will see if I can check the with the reflections today with split screen and get back to you.