You may not be interested in a semantic argument, but it's a semantic point you're arguing. The title of the article in question[1] is:
"NSA Prism program taps in to user data of Apple, Google and others
• Top-secret Prism program claims direct access to servers of firms including Google, Apple and Facebook
• Companies deny any knowledge of program in operation since 2007"
The first sentence states:
"The National Security Agency has obtained direct access to the systems of Google, Facebook, Apple and other US internet giants, according to a top secret document obtained by the Guardian."
Emphasis on according to a top secret document obtained by the Guardian. If you read on, the content of the article supports this title and summary. It doesn't matter what Emily Bazelon has said, it don't matter what others have said, and it certainly doesn't matter what the mainstream criticism is when determining whether or not the statements in the article are accurate. The slides say the NSA can "collect data directly from the servers" of these companies. Guardian states the the slides state that the NSA can collect data directly from the servers of these companies.
That is a demonstrable fact. In fact, I just demonstrated it.
Now, I'm in the camp of people who think that whoever wrote the slides just didn't know what they were talking about. Neverthess, I'm also in the camp of people who think that the Guardian was accurate in their reporting--because the reporting is right there to be read.
We could, of course, argue over the congruace between the phrases "direct access" and "collect data directly from the servers," but you said you weren't interested in semantics.
[1]: http://www.guardian.co.uk/world/2013/jun/06/us-tech-giants-n...