We need screenshots of the sky after each mission in Saints Row IV.
- Taken between missions, without doing any City Takeover.
- Taken from the same place, looking in the exact same direction, with the city visible below the sky.
- Burns Hill looking south would probably be a good place. The important part is that it's consistent. Picking a memorable tile to stand on, and picking a memorable building or tree to align in the bottom corner would help.
City Takeover changes the streetlights of a territory, as well as the ambient light filter, but the skybox background is mission related.
You can test this at the end of the game, by setting any "time of day" you like, then going to Sierra Point. The ambient lighting will change because it's still "Zin controlled", but the sky will remain the same.
The sky may change only after certain missions, or after whole quests, not missions - that's the reason we need the screenshots.