Thank you so much for responding to my question about the color, that i asked some time ago! I'm sorry i didn't respond earlier. Happy to see you, guys, have moved forward in finding a better way to process the color!
Here what i see:
MlRAWViewer 1.5 as a kind of a rough reference point of real colors (with increased exposure):

MLV App
WB that Danne provided here earlier after i wrote my post:
Original (warm and dark):

Roughly tweaked to match MlRAWViewer 1.5:

MLV App 1.1 that i had problem with before i wrote here for a help:
Original:

Tweaked (but couldn't match the green):

MLV App 1.2 from fresh post above:
Original (strange colors):

Tweaked roughly:

Result: MLVApp WB and MLV App 1.2 with tweaking match the reference. WB version was more natural to tweak.
It's only greens and blue. Gotta test different colors next time

facepalm....
WB version (i understand it wasn't even a version, just to try) doesn't export cDNGs.
1.2 export cDNG from what i tweaked, but it looks different:
Screenshot from Lightroom (not touched):

Shifting Temp and Tint brings it back to life.