Okay, only so many people would ever use bitcoin, just as so many transactions would be possible in a given period of time.
As it has been hinted, we've got to reach out to other people to give diversity and foster innovation (if not in bitcoin's tech or paradyne, yes on its implementation). That would probably not be the case in a bitcoin-centered social network. Sure, in such a network new ideas might come out, and yes, it's as vulnerable to bad intentions and flooding as bitcoin itself.
That phrase mentioned every once in a while regarding that people in bitcoin are their own enemies comes to mind. Okay, you had a great idea, developed critical mass for a project, etc.... now, how do you convince all prospective clients/users to get engaged with the project you developed? There would be the challenge. Not exactly what was asked here, but I did express my vote for "no", no need for a btc social network.
S.