So not too sure on your point that you're trying to make. Yeah, if there's a subpoena, I'm sure the government could open and read every single piece of mail you send or receive, but that's what I said.
But, Google or Yahoo or Facebook is not going to have access to this information. But they will if you use their email system. Why do you think they offer it for free? Through the generosity of Sergey Brinn and Larry Page's black, black hearts?