Not exactly the same, but Ambient Lights aims to address this by coloring the ambience light and tweaking the lighting levels (including lightshafts) to reflect what's going on outside, clear daylight is more yellowish, cloudy is bluish, snowy is grayish and foggy is more green. Also lightshafts get more dim the more cloudy it is. It's subtle, but there's a noticeable difference between weathers.
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