I think the Dunning Kruger effect has been a meme/cultural/conceptual construct long enough (like the measurement of intelligence) that we need to test for a Reverse Dunning Kruger effect, where knowledge of the Dunning Kruger Effect correlates with bias in self evaluation.
Knowing about the Dunning Kruger effect makes me more inclined to ask other people how good I am at something instead of relying on my own opinion. Which I think would make my evaluation more accurate.
Do you really think Michael Jordan needs to ask anyone in order to test his basketball skills? I'm fairly sure he doesn't do that and no matter people (some people) will tell him about this or that players being better, he firmly believe that he could win them in court, in his prime. IMHO Dunning-Kruger effect doesn't work if you reverse the claim.