Suppose you shoot a cubemap to be viewed inside a room with walls, ceiling and floor being screens showing the scene you shot. The monitors should obviously show the images as closely to what would be "shown" by the windows of the same sizes into the scene. This means that we shouldn't try to do any white balancing to remove any tinting.
But there's no such setting in the camera as "no white balance" or "white balance as is". Similarly, raw photos, according to my experiments with LibRaw, appear to have colors very off reality: on my Canon EOS 1100D they are much too green: even if I capture a red (640 nm) laser pointer spot on the wall, there's some noticeable green. The images have to be corrected by camera-supplied coefficients to be made closer to reality. I guess this is what is called the Neutral profile in RawTherapee.
Now, how do I process the photos so that they are shown on screen as closely as possible to what actually hit the camera sensor? How can I reproduce photometrically-correct colors instead of those which the human would think there are in some particular environment condition?