While in general, I agree with your sentiment, you mentioning the Dunning-Kruger effect is not appropriate here. Dunning and Kruger (1999) does not claim incompetent people would consider themselves above the experts. It's just that incompetent people do no consider themselves as incompetent as they really are, and competent people don't understand how far above the laymen their knowledge is. But both would agree, that the expert knows more about the topic than the layman, and both would sort themselves in the right categories.
You could consider the effect of Dunning and Kruger (1999) as a "mental regression to the mean".