I take carrot juice with butter / oil / cream to help the liver metabolise the vitamin A compound in the juice and to prevent the overdosing and resultant orange tinge to the skin.
That is interesting about the butter / cream causing your spots betta. I firmly belive that butter and quality dairy products should be an important part of your diet as they are so nutrient dense and traditional societies have shown us much about the importance of their use. Ghee is practically religiously observed!
I have quite a bit wrong with me at the moment (with no obvious cause) so maybe its related to other internal issues, or maybe it needs a few more flushes as I begin to stir up older stuff.