FBW is often used somewhat interchangeably (perhaps technically incorrectly) for assisted flight through gyros and the like, as they can be inserted into the controllers for the control surfaces and similar.
Fly by wire is simply the lack of mechanical linkages to a control surface, you have FADEC or ECC for thrust control. It's the laws (C* or C*u) that govern the behaviour of a machine, there's a huge difference.