the inference to be drawn - is that the creative artist is the one who creates the mix?
Not a creative artist but a creative editor. Many a times recording studios edit and mix music to make it sound interesting, but, yes, the naturality is lost.
Again, our recording technologies have their own limitations which prevent sound from being reproduced as original as a live performance.
Take the example of a person singing, in the live performance, if this singer raises the voice, you actually feel louder, whereas in a recording, the increasing in the loudness is not as prominent, though the mixer adjusts the background to make the singer appear louder.