If you are to be rigorous in your analysis, you must concede that this premise is inherently wrong.
E = MC2 declares that to be the case.
Correction: Not you, milady -- but Nadeau and Kafatos -- are guilty of gross oversimplification -- such as one might expect from the likes of K. Hamm...
Your correction duly noted, TXnMA! Perhaps Kafatos -- a Romanian physicist -- and Nadeau -- an American historian of science -- have oversimplified a bit. Then again, one might give them a pass by qualifying their statement as an observation from the Newtonian point of view. I imagine prior to relativity theory and quantum theory, such a statement would have been accepted by scientists as essentially correct.
Yet one of the major points Nadeau and Kafatos stress in The Non-local Universe is the insufficiency of the Newtonian ("classical") view to explain what is really going on in the universe.
So "go figure!" :^) (I really did like the book.)
Thanks so much for writing, TXnMA!