Ok I stepped away to take some pics.

If we light the right side with “daylight” and the left with rosy, our eyes need to pick a white balance. They pick daylight, and make the left side red-tinted.

Now if our brain sees the rosy side as white, but there is daylight too, the daylight looks green. And again this is weird.

But if we have matching light sources, there is only one white point and all is white.

So unless you can eliminate the daylight from the sky, you are forced to agree with it.
And yes, if you do eliminate the daylight, there is a preference for a rosy lights, but you don’t really notice it’s rosy after you adjust.