Or, it means they tapped the lines between servers.

This assertion of meaning without evidence is a waste of time. Please make sure to replace "means" with "causes me to think" in the future.

> "directly from the servers of these US Service Providers" means "with help from these US Service Providers"

Or it means "with the court-ordered forced help of these companies".

When they talk about "directly from the servers..." they are talking about PRISM and yes, it is data sent from the companies regarding federal requests.

It has nothing to do with the claim " Google has NSA hardware in their datacenters"