It definitely raises interesting questions about mind-body duality. If a telepresence robot is a physical manifestation of Snowden's self, then it would seem to be fair game for the FBI to arrest it. If it isn't, then we have to ask how a sufficiently-advanced version of the robot would really differ from one's physical body.

To make the question meaningful, I suppose you'd have to stipulate that the robot is somehow irreplaceable. Meaning it's the only one of its kind that's capable of representing itself as the body of Ed Snowden, and that it's the only means at his disposal for interacting with the outside world.

On the other hand, it's no stretch at all to say that the company who provided the robot is liable under US law for aiding and abetting him, especially if Snowden has to use their servers to communicate with it. (Well, OK, it's a stretch, but it's a stretch that the US judicial system has had no qualms about making in the past.) Our Federal courtrooms aren't often mistaken for philosophy classrooms.