Another update on this mod. I compared the time_of_day.xtbl files from both games, Saints Row 1 and Saints Row 2, SR1's file is somewhat backwards than SR2's file, it's kinda hard to explain but here are the comparisons.
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Also I found out what makes the sky so pinkish and reddish during Sunrise and Sunsets in SR1. The cloud colors are responsible for that.
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As you can see, the file from SR1 has different cloud settings than the one on SR2
This is SR2's file:
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