There is nothing wrong with the media relying on the "analytics community". Not every consumer of statistical information needs to be a statistician. Certainly the media need to have a grasp of fundamental concepts like statistical uncertainty but they don't need to be able to calculate it for themselves. The statisticians who are doing the analysis and calculating a player's GAR should be providing precision and uncertainty information along with their results. Blame them for the lack of it. Blame the media for not reporting it when it is provided, not when it isn't.
Do you have any idea how quickly people would tune out when you start to "see more critique of methods and results, referencing well-researched articles"?
True, there are some, like yourself, who are interested in that. That's why TSN employs Travis Yost. There is a place for that but I don't think it is in radio prime time.