First of all, how do we define EQ? Is there a reliable test to measure it so that we could truly know if one person had higher EQ than another?
I'll tell you this much, from my own experience as an INTP: I was terrible with people when I was a kid. I couldn't read them and had no idea what to say to them. But by the time I got into my teens, even though I still didn't know what to say to them much of the time, I was getting a lot better at reading them. At that age, the few friends I had started coming to me for interpersonal advice and support to help them better understand themselves and others. Ten years later, when I was in my late twenties, people I was close to were telling me that I should become a psychotherapist because they thought I was so good at helping them gain insight into themselves and work through their personal problems. But, they still complained that my own interpersonal skills, such as relationship maintenance, self-disclosure, and conflict resolution, left something to be desired. Finally, in my mid thirties, my Fe had developed to the point that, for the first time in my life, I could do the small talk thing well enough that I was getting positive feedback from friends of friends who'd met me here or there and came away from the meeting telling others that I was "such a nice person." I still don't enjoy small talk, though, and I'd say I've only gotten a little better at self-disclosure and conflict resolution by being very intentional about it, while my relationship maintenance with most of my friends has probably gotten a bit worse over time since I'm less and less inclined to socialize.
So, considering myself as an example, if EQ is understanding others--having insight into who they are, how they think and feel, their motives and intentions, their psychological strengths and weaknesses, and so on--then, at least according to others, I have high EQ. But if EQ is knowing how to communicate effectively with others--how to express my own feelings, how to respond to their feelings, how to build and maintain a network of relationships, and so on--then, at least according to others, I have lower than average EQ.