It seems obvious to me - it's privileged because it's what's used to tell stories about your sensory data. It's very easy to identify with that part of yourself, but that's not the only way to go about things. One of the more common other ways is usually called "flow", where the sports-playing / problem-solving part of the mind is basically the entire thing that you're experiencing.

In other words, that representation is privileged because the environment often demands story-telling from you. In situations where it doesn't, you get very different experiences (like flow states, or long solo wilderness hikes).