I think emotional intelligence is greatly underestimated.
My children are dyslexic, so although reading and writing will always be a struggle, they are bright, confident, intelligent, and have developed coping strategies for whatever situation they find themselves in.
My friend's children have no learning differences, and she pushes them very hard academically, so that they are about 2 years above their peers in most subjects.
These children have little emotional intelligence though; it is all about winning, no matter what the cost. They constantly make comments that make other people feel self-conscious or unhappy, but they don't even seem to notice.
Worse still, their parents never challenge them about it; they seem to find the sarcasm of their offspring rather amusing.
Yet these children have little awareness of how to look after themselves; the eldest is 12 and his mother still lays his clothes out for him everyday, still helps him with his homework, still expects no help from him or his siblings around the house.
What point is there in having a brain the size of a planet when you can't dress yourself or boil an egg?
I would much rather be around people with average intelligence, who also possess emotional intelligence, than superbrains with no sense of how to behave appropriately.
I believe a willingness to learn no matter what your age is the key to success, and the key to intelligence - whether that is academic, social or emotional learning.
True intelligence is measured by so much more than exam results IMO.