That's probably true, emotionally intelligent people mostly act extrovert. Like comedian's, actors and other stage people have a great social and emotional intelligence. Also like in theathre, you have to impersonate an other character. Whenever you do that you are also going to feel and act like that character. That may be also a way to learn how the psychology of people work.
I think this because I used to study social work. And a way to learn how to communicate in diffcult conversations was via roleplaying. Also whenever you played the "patient" or "cliënt" you could feel and learn what effect spoken words had whenever your partner (playing the social worker/ psychologist)said something off, or stupid.
Thanks for reading m8 and have a good day :)