The DK effect is that everyone is bad at estimating their ability, the lower skilled have more error in their estimates. The DK effect doesn't apply to the person, it applies to the person in the context. I might think I am more skilled at auto repair than I actually am. And in fact, I might think that because I am a bad ass at writing codes.
It might be that the DK effect is _more_ pronounced in someone who has mastered a skill that they think transfers to other problem domains.
But who knows, I am not a cognitive psychologist, I only play one on the internet.
[0]http://en.wikipedia.org/wiki/Dunning%E2%80%93Kruger_effect