Think of it like a value proposition. Is the (dubious IMO) convenience of having Linkedin profiles in your email worth the cost of Linkedin having the content of your email? Even if they pinky-swear to never read it, don't forget that this proxy email server would be, overnight, one of the most valuable corporate espionage targets in the world.

(If yes, you should probably ditch reading email and do something more productive with your time, like picking up cans.)