Wouldn't it be a good idea for Github to set up a video + sound stream from their office when these things occur? I for one would watch. Can't really work anyway (at least that's what I persuade myself to think).
Alright, perhaps ordinary web cams on the faces of the employees involved? Just seeing the hard work and stress in their eyes would be pretty soothing. That might be an idea for any site: "We're currently down, but here are the faces in real-time of our engineers trying to fix it".
Maybe they would, but I'm sure a bunch of people would also be wondering why they waste their time on putting on a show instead of fixing their core business :P