I don't think that kind of self-defeat is a necessary result of having both teams playing for you. Look at Netflix: They used to be in the DVD rental business, then they went ahead and obsoleted their own business model and are more successful than ever for it. If streaming had failed, they would have still had their traditional role; but it succeeded, and now they're on the cutting edge of the industry. Likewise, a Google-owned media company could experiment with new models that others are too afraid to try.
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I don't think that kind of self-defeat is a necessary result of having both teams playing for you. Look at Netflix: They used to be in the DVD rental business, then they went ahead and obsoleted their own business model and are more successful than ever for it. If streaming had failed, they would have still had their traditional role; but it succeeded, and now they're on the cutting edge of the industry. Likewise, a Google-owned media company could experiment with new models that others are too afraid to try.