It could also mean he was simply running damage control on a bullshit accusation he had no way of denying.
If sites are spreading factually provable lies through Facebook as fact, and people are acting on it, should Facebook have any say in telling people "Hey, this is garbage"?
It's also partly a constitutional question. I want my friends and I to be able to share articles we find in whatever press on FB. I'll filter by friend. (Mea Culpa: I haven't read TFA yet, so I may be missing some context.)