I think there's a correlation between being self-accepting and not being terribly angsty about what other people think of them, and sometimes that would translate into showing deep feelings and/or showing/acknowledging self-contradiction.

Yes, yes: I think humans are inherently self-contradictory so a self-accepting state of mind embraces that aspect too.

Based on what I know about you, I agree that self-acceptance would go along with openness for you. I didn't mirror your use of "required" because I suspect that moments of openness could lead to more self-acceptance as well as the other way around.