IIRC from about 2005-2010 there were intense experiments as to using torrents for video streaming. But, again iirc, the results were that there was too much competition for the earlier blocks. This was because unlike conventional file sharing, streaming is linear and people abandon videos halfway. Ultimately the savings over conventional hosted streaming were small. And so Blizzard and Nine Inch Nails used it, but the video players didn't.
Do I misremember something, or has something substantially changed since then?