It is possible to be way off into your own head and still be E. I'm that way. I think Dali was E because he did not hesitate sharing his crazy inner world with the outside world.
I have a Dali story that supports some extroversion: back in the 20s and 30s the Marx Bros were all the rage with the surrealists. Especially Harpo; it's not hard to see why, Harpo was ethereal. I've read of artists developing man crushes on him. Dali was one of these artists.
He sent Harpo a Harp made of barbed wired and Harpo posed for him.
They even did a rough outline of a script together (the most bizarre thing you'll ever read but something I'd totally like to see). As suddenly as it started, their connection faded. [insert odd projection about the chinese zodiac and Dali's con man tendencies, here]
Sketch from the script:
http://www.marx-brothers.org/graphics/the_arts.jpg <---- The portrait. Remote image linking is bad and I am lazy.
According to Dali, when he arrived at Harpo's place Harpo presented himself. ...ummm. ..it's been awhile since I've read Harpo Speaks or the thing where I got this from but. ...you know how seraphs are nude and often in a bed of roses? Kinda like that.
I'd love to know Harpo's type.