I keep getting asked to comment on EQ on Quora, because I do comment on IQ, and the former only seems to come up in comparison to the latter. That may be revealing.
EQ is not really a thing. It seems to include the ideas of charm, getting along with people, managing others skillfully, being empathic. We have plenty of words for those things already, which allow us to speak much more precisely about them than a vague unmeasurable catch-all. On the surface, it would seem to be a simple exploration of differing abilities and different types of people, which seems a worthy enough endeavor. But because it only comes up in relation to IQ, I have come to suspect something more defensive is in play. I can't tell if people are drawn to it as some sort of consolation prize, or to insist that people-skills are clearly more important anyway, or to put others in their place.
In my IQ answers, I have taken to stressing each time that wisdom is more important anyway. Sometimes I will list the Four Cardinal Virtues of Temperance, Justice, Prudence, and Fortitude, figuring that any of those will keep a serious student occupied for some time if they choose to pursue it. Wisdom can be learned and improved, which is another important distinction.