People are perfectly well capable of understanding that the government is reading all of their emails, text messages and facebook posts.
The problem is that advertising dollars come from big corporations that make money off of the snooping and that well will run dry if anyone suspects that reporting will have a negative effect on next quarter's revenue.
Instead of "Hey look! These Fortune 500 companies are getting paid millions of dollars to tell the government everything that you do.", we get "Hey look! This guy's doing something weird!"
That is to say, no, they can't. But mainstream news in the US isn't targeted at reasonable people — or, more strictly speaking, it isn't targeted at the reasonable parts of people. They're going for the visceral, emotional reaction from the audience, because that's what keeps people tuned in long enough to throw ads at their eyeballs.
That's what appears to matter most in American "news" reporting.