Gosh, that's SUCH a good question, with no straightforward answer.
You'll need to try it both ways - with the skin layer set above, and below, the artistic layer set, to see which you like better.
No, the results aren't "wrong". They just are what they are. That Delta column is just telling you how far each screen varies from the theoretical target that the ICC has set.
I think perhaps you misunderstand the purpose of calibration? Calibration exists BECAUSE screens aren't perfect. The calibration process finds those deltas (which exist, but are different, for every single screen in the world) and corrects for them.