For instance, your second paragraph: No, objects move or change at the same time, just at different rates. And an object can be moving in one frame of reference, and only "changing" (time passing) in another.
I made my point clear, the amount of change of state that an object can produce over time, is given by its energy. This is because action equals joule-seconds, so energy equals actions per second. Just because you can change your frame to see change differently (ie. stationary) doesn't invalidate the point. This principle applies just as well even as the frame is changed.
