Thanks for making this point. It's completely valid and needs to be clarified.
Here are my thoughts on this matter:
We have no problems with anyone streaming the game as long as the game is not being modified nor are players allowed to use the streaming to generate revenue with ads on the sites
So, if you are using stream.tv to stream the games or post them on youtube after the fact, it's fine, since those are sites ad's, not benefit you directly.