My amateur observation is that the most successful people tend to not be on Facebook. As one example, while there is a Facebook page and a website for Noam Chomsky, my understanding is that they are run by other people and he doesn't interact there in any way. E.g., from the website:
Again, please note that the website administrator is not Noam Chomsky,
and he cannot arrange interviews, or put you in contact with Noam
Also, please note, Professor Chomsky is not on Twitter. Any
accounts using his name are unauthorized.
The one piece of research that comes to mind is that people who use Facebook are generally less happy after their use of it. From NPR:
A new University of Michigan study on college-aged adults finds that
the more they used Facebook, the worse they felt. The study, published
in the journal PLOS One, found Facebook use led to declines in
moment-to-moment happiness and overall life satisfaction.
I would argue that Facebook/Twitter and other social media are not like public talks where an expert has the floor for an extended period of time. They are (as the name indicates) structured to be a catalyst for ongoing back-and-forth with a multitude of people who may or may not have anything actually productive to say. In fact, we might speculate: Those with the fewest accomplishments/insights may have the most time and interest to repeatedly post, argue, troll, etc. It would make sense to me that if Facebook use makes a person sadder and more depressed, then that would detract from their academic productivity.