But could the FISA court order the datacenter operator to loop the feed? We'd never know. And that's scary.
You could trivially defeat that by injecting noise.
You could less trivially defeat that by looking for "random" behavior in the datacenter, such as people walking by, vibrations caused by folks moving about, blinking patterns of the ubiquitous network activity LEDs in your rack and other racks, etc.
I think a loop is trivial to detect.
[I despise the fact that I am making a joke like this, and that it's probably true. I'm writing my folks in congress again.]