For moonlit shots, you might want to consider the human eye response (scotopic vision) under such circumstances:
https://www.azom.com/article.aspx?ArticleID=14971
The camera sensor has no idea as to the lighting it's in, of course.
I think that there might be a WB, e.g. incandescent, on your camera that would shift the scene capture in the direction of scotopic.
The main effect sought for scotopic being a serious reduction in saturation and a slight shift towards blue, IMHO.
While understanding that you are happy with the final image, I used it in order to illustrate the above claim, using FastStone Viewer:
In principle, this is no different to using processing to offset other effects of the human eye/brain combination such as the well-documented white-paper-under-warm-light effect.
Not disagreeing with Manfred's Exposure Advice, BTW.