Are you describing a problem between live streaming and pre-recorded video? How does Twitch handle their load? How many more people are watching the average football game vs watched "Twitch Plays Pokemon" at its peak?
Edit: TPP had 60,000-70,000 simultaneous viewers on average, with a peak of 120,000.[1] In 2014, each NFL game had about 17.6 million viewers.[2] So an order of magnitude increase. How well does live streaming video scale horizontally?
Granted that is 14 different events being streamed, but they eclipse Twitch in terms of live streaming by a huge amount.
[1] - http://techcrunch.com/2015/04/07/mlb-com-hits-home-run-with-...