That's the thing, neither of those are true. ESPECIALLY the latter.
Except those who observe the electronics market and see who buys what and for what reason. What you do with your Xbox 360 is completely irrelevant. Using it as a netflix, video streaming, and gaming box matters no more than my older sister who uses her Wii as one. Looking at the people who buy a 360 and what they use it for it's clearly obvious that Microsoft has not in any way imaginable captured the mass market to use it has a media hub. If there's anything that's a convergence device it's smart phones and iDevices.
Microsoft went into the gaming market because they wanted to eventually capture the mainstream market with a device that not only plays video games, but music and movies as well. Yet in recent years it's become more and more increasingly obvious that they bet on the wrong horse. Apple devices are already marching near what Microsoft originally envisioned with Andrioid smart phones not too far behind, while the Xbox's current situation isn't that much more successful to where the Playstation 2 was as a convergence device 8 years ago. And with the iPad they are in dire danger because not only is it that much more of a thread to their "progress" in the convergence market, but also to their primary market (operating system/severs *combined because they go hand in hand*) as well.