I wouldn't be surprised if there may be some correlation. After all, our minds don't exist in isolation from our bodies and environment. This is probably why when you see nerds as CEO, it usually in a tech startup. It's really hard to have a balance between brain and brawn, people are more likely to rely on one more than the other.
But are socially inept men likely to become wimps?

Likely yes, but it's just as likely that they may become violent sociopaths too.
I'm socially inept AND wimpy.

Haven't become violent yet, though I feel I'd probably become a sociopath at one point in my life. My "emotional zombie" episodes has been coming more often now.
