Ok, after having the opportunity to play for a few more hours, I resume my feedback in the following points:

1. The skybox is moving and sometimes seems as it's static, but it's moving very slow in reality. Sometimes it's moving slightly faster, and it's good enough in terms of variety. I retract my previous statement in the original text, I think this is a good variety. However, I think there is a problem with its movement that I explain in the next point (point 2).
2. When the sky is moving, it's spinning around the world, I explain myself with an example: if you look i.e. North you see the sky moving towards the right, if you look East, again moving towards the right, West, again towards the right, South again towards the right. Always towards the right. This is weird since doesn't happen (only in center of hurricanes?). So before the update, the sky aka clouds were always moving towards the east, and it seemed and felt right movement. Now, the sky is always spinning around your character, around the world. It's not right and feels weird. Not noticeable in occasions of slow moving skies, but definitely noticeable in faster moving skies. It breaks immersion for me, since the sky is a main tool to gather my bearings. I might try to upload a video, but I think it's obvious what I am trying to explain, I think I wrote a lot of text for an easy to explain point.
3. The night sky is beautiful (before it was like an ugly stain of purple and dark blue, like a 2000 game) now you can even see the Milky Way in between the clouds, which is very nice!

I summarize what IMO should be reworked/changed:
a) Change the movement of the sky, so it doesn't look that it's spinning around your character and the world. Make it go from West to East like it was before, or even better, make it randomly go any direction as the wind changes.
b) This one maybe it's because my game settings and don't take it into account, if so: improve the textures of the sky in case they are low quality for bigger screens.
c) More variety in skies, the fluffy Livonia clouds are amazing, ¿bring them to Chernarus too?
d) Was playing at night, and it was way too bright, but even I didn't find the moon in the sky. Make it slightly darker. I don't know, maybe the server had weird settings (I like to play in the dark setting night servers).

And I leave what I already find good in the rework:

• Apart from the quality of textures and more variety needed, I like a lot the already types of skies (fluffy clouds, scattered high altitude clouds, and overcast sky atmosphere).
• It's awesome to get bearing from stars (this was already, but glad keep it).
• Night sky is beautiful.
• Nice lighting from each type of sky.
• Overcast clouds, and darker lighting atmosphere is a very good feeling, they are an improved touch to the game.

A lot of text, sorry, but I love this game and specially atmosphere and immersion of it, which skybox improvement is something I always wanted.