On the contrary. A lot of the standard methods are crude and coarse measures of intelligence.
https://www.sciencedaily.com/releases/2012/12/121219133334.h...
> ... whether general "intelligence", or g, even exists.
I'm talking about the one that is for example measured in standardized IQ tests.
Intelligence is a measure of aptitude, but aptitude applies to a broad range of activity, and not all aptitude is numerically quantifiable (in any meaningful sense, at least). For example, two broad categories of intelligence are academic intelligence and emotional intelligence. Excellence in one field does not necessarily transfer to all fields, otherwise socially gifted people would always make the best academic students, and from personal observation I can see this doesn't tie up with reality.
They do not involve asking people how intelligent they think they are, which is the only way Dunning-Kruger would influence the results.