One of my best friends is an ESE who is "introverted" in the more commonly understood way. She is not very social at all. In fact, sometimes she dislikes social events more than I do, and I find myself being the one to encourage her to go out. Too much social interaction wears her out and she's a big fan of going to bed early. And, yet, she has an EJ temperament, is a caregiver, has Fe as her first function and Si as her second, etc. (I'd actually put her as possibly a Si subtype, which in some sub-theories would explain some of the extra introversion.)