This is what I believe, although I don't have experimental data to sustain it,
that being the reason I can't say 'I know' (which would be quite a different answer).
The one you are more gifted in by Mother Nature will be the more important, unless
the person makes bad choices in their life, i.e. finding himself in contexts that
are not suitable to him most of the time and in important situations or relations.
I think both are important.
Which one is more important for a person he needs to choose and work on it. Emotional intelligence helps in interrelations when intellectual intelligence helps in a career. Everyone choose what is more important to him.