This is an interesting observation. I don't watch basketball, but usually when I watch sports, I watch for skill, and don't really care who is performing it. If you see a brilliant shot it doesn't matter who did it, so the names and faces might as well be blurred out.
That it would be unpleasant to the watcher if the names and faces were blurred out, implies that the celebrity nature of the activity holds much importance.
Haha, just saying, FWIW, because your comment was interesting.