I would say that sociopaths are everywhere. They make up around 1% of the general population but 4-12% in the C-suite. https://www.forbes.com/sites/jackmccullough/2019/12/09/the-psychopathic-ceo/?sh=788d5ba4791e
I... think you are conflating the term "sociopath" as used by Rao and the clinical term, which is a very different thing.
Rao's formulation is very similar to McClelland's need theory (https://en.wikipedia.org/wiki/Need_theory). A Sociopath has a high need for power (nPow), the Clueless have a high need for achievement (nAch), and the Losers (perhaps) have a high need for affiliation (nAff). These are not pure types and people can have combinations of needs.
The higher in a hierarchy the more sociopaths/nPow types you will encounter. In a piece in Harvard Business Review in 1977, McClelland noted that high achievers typically focused on individual achievement whereas high powe...
I agree the base rate is probably lower in the physical sciences.