Those responses are eery close, and both Zuckerberg's and Page responses do not address a key question: Do their companies run queries over users data to answer questions that the state are willing to pay/force to get?

The value of the data inside Facebook would actually go down if it was transfer out of Facebook. Its much better if Facebook themselves would run the query (like they normally do with advertisement), and provide the NSA with either a summery or webbugs/custom code in form of targeted images (advertisement) sent to those NSA is interested about.

Copying massive data would not just be logistically hard, it would need to be constantly updated. The simplest answer is that "direct access" simply mean NSA provided queries that google/facebook run at "request". No need for backdoors.