Not much, if at all.
You're missing the big picture. It isn't about, "You can't use social media to post pics and tweet jokes because Putin hates selfies and disliked the 'not impressed' meme." It's about, "You can't use social media to instantly tell and show the world how we treat people who decide to speak out against the unjust decisions of the government."
It's a censorship and free-speech issue. If there is a pro-LGBT protest during the opening ceremonies that the police decide to crush, what are the odds that NBC is going to say a WORD about it?
Fine...if you need twitter to get that realization then that's your problem. Lack of tweets isn't going to change what most of the world already knows.