The media doing a story on the effectiveness of the media’s manipulation of the public?
Sure: Military organizations do post-combat reconnaissance all the time. BDA: "Battle Damage Assessment". It's basic.
Like Newsweek setting up a weekly poll in 1995 to provide a steady flow of BDA on the journalists' hate-attack on the Republican Congress after the 1994 election. You remember that one? That's exactly what that was. They were measuring Newt's negatives and the GOP's negatives continuously, and judging what worked and what didn't, and adjusting their propaganda campaign accordingly. Worked.