I guess it's like producing a TV show and showing it on two different channels, both of whom don't have a problem with the fact that the other one also shows the same thing, because they're both making money from advertisers. And the producer - in this case the person making short videos to show off his/her expertise - is happy, because they get people at two different websites watching their stuff. End result: some degree of brand recognition/enhanced credibility, because all the videos have promotions for their own websites, or Ustream live shows.
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