But, BitTorrent Live has nothing to do with BitTorrent, besides the inventor and the name. It's a completely new, proprietary protocol. You need to download their proprietary software to view it. You can't view existing torrents with it; so the Pirate Bay doesn't provide it with a distribution channel.
One of the reasons that BitTorrent took off as well as it did was that it was an open protocol and free software. People could write competing BitTorrent clients. They could extend the protocol, adding new features like trackerless torrents and magnet links.
BitTorrent Live has none of that; it's yet another proprietary streaming service, designed to create a walled garden that the content industry can be happy with. It will succeed or fail based on how well BitTorrent Inc can cut content deals, and cut deals with set-top-box manufacturers to include their software. And that's not really a game that you want to be in, unless you have a lot of leverage like Apple or Amazon, or the backing of big content companies like Hulu.