I concur, Georg.
I learned PI from Harry's videos initially, and the BackgroundNeut. before DBE made sense to me. First you get rid of the 'base' color, then you deal with the more complex gradients with DBE.
However, when I saw Vicent's workshop at NEAIC, I was surprised to see that he does it the other way -- DBE first, then BackgroundNeutralization if necessary. It still doesn't make a ton of logical sense to me, but I'm sure there's a good explanation.