I don't think its a "social skills selects orthogonally" problem. Its a "to want this job selects for low intelligence" problem. One of the counterexamples I have in mind chose to pursue the alternative despite being brilliant because as a professor she wound up in a place where the red tape was unbearable and the median quality of postdoc and grad student she was getting was impossibly low to achieve reasonable results, but like I said, I think she is an exception and she rails about the difficulties she has as an administrator (but at least it pays better than professor)