I'm not also terribly clear on what sort of strength of effect the authors are looking for. A lot of people work for a company, are they trying to attribute all of a company's earnings to a single person? Or are they looking for a difference that is not very proportionate to what CEOs actually do.
I should also point out that "could be due to chance" isn't in itself very interesting. That means that with the methods and data the authors happened to use, they didn't happen to find a statistically significant effect, and while that could be because they don't have an effect it could also be that the tools used to look for one were simply not up to par.
That said, it's my understanding (and some experience) that the upper echelons of a lot of companies can be... a bit incestuous, cliquey, who-you-happen-to-know.