More on this here: http://slatestarcodex.com/2014/08/11/does-the-glasgow-coma-s...
More on this here: http://slatestarcodex.com/2014/08/11/does-the-glasgow-coma-s...
NB I say that as someone who got a very high IQ test result - which didn't exactly convince me that IQ tests are a good idea....
Intelligence really isn't "multi-faceted" (read Gardner's own admission that his theory never panned out) and it isn't ill-understood (refer to the Nature or Nurture interview with Nancy Segal on YouTube).
There's two reasons people say that. One is, they fared badly on a test and want to dismiss it, and the other is, they fared well on a test and are bashful about it.
Also, IQ tests are meant to measure a person's intelligence, not to convince them that IQ tests are "a good idea" - for that you would have to study Psychometrics.
Intelligence is neither well defined nor well understood. It is fairly controversial stuff.
I worked on AI research for a number of years and my strong opinion is that our understanding of general intelligence is, as some wit put it, "pre-Newtonian".
But you're right that this doesn't tell you much about any of the individual dimensions. Maybe adding a variance across dimensions, so two numbers, would be more useful.