That looks nice to me. Yes, the right side is blue, but that's really due to the RAW file. You could do a layered adjustment on that area (as well as the left side).
I couldn't leave the earlier issue w.r.t. the crappy RAW conversion on my end alone, so I went back and noticed that RawTherapee used an unfortunate white balance setting for the image. I set it to something more sensible (I think I just ended up setting it to 5000-5200 or so) and most of the blue balance issue I complained about earlier clears up just fine. With my standard inversion approach followed by an overall contrast adjustment to taste, I end up with this:
View attachment 376195
The reason why I asked about fixing earlier is the way the frills on the blanket render:
View attachment 376196
That looks oddly muted in terms of contrast - however, on closer inspection, it looks like there's just a shadow cast on that area.
The reds/magentas still look cooked, but I think this is due to the white balance that I used for RAW conversion not matching up with the color balance of the light source used.
What I personally take from this is that white balance setting for the RAW file is more critical than I had anticipated. I played around with it a bit and the effects are dramatic after inversion & color balancing. I wasn't sufficiently aware of this initially!