To move, you have to move to or away from ... well, from what? You'd have to say that you don't even get to use a word like "move" when you are the only body in that void.
You can move. You can have a delta v. You don't have an absolute position or velocity, but you don't need those to move.
I don't see any comparison to the pre-sleep state, this is a statement about the void, and it overreaches.
Reflections on Relativity [1] in fact does build up to a generalize concept of relativity (not just Einsteinian relativity) starting with points in an unknown space (building up to a concept of distance, rather than assuming such a thing), but it's a mathematical treatment of the problem rather than an intuitive one. And certainly not in words of one syllable.
[1]: http://mathpages.com/rr/rrtoc.htm , the part I'm referencing starts right off at 1.1.
Basically the same issue as the twin "paradox". I can appreciate the assumption of a constant velocity on wake though, as a way to simplify the story.