Agreed. But that assumes that all Americans are watching/reading the same material, with the same bias.
Social media and the MSM have firmly become “Dem” or “GOP” aligned. Take a look at Fox’s coverage vs CNN’s coverage of the exact same event, and note the headlines. The Jon Stewart ep I listed above mentions it a bit but the American public is most definitely not getting the same info.
So in your example, if Fox News is purposely putting up roadblocks (taking snippets out of context, headlines that don’t really align with what is being said, etc) then there is no way that the voters watching it will get the same meaning that was intended. It’s like a game of Telephone, except that somewhere in the middle someone is purposely saying different words.