but that the timing of the motion of atoms in distant stars is not synchronized with our own
What is this "synchronised timing" of which you speak? Atoms in distant stars move in some way that is fundamentally different to movement of atoms in nearby stars, but that movement isn't different in space, but in time? This makes no sense.
On the face of it "synchronised in time" means "contemporary". If the argument is that I can only experience the present, and that I can't interact with the past or the future (although light emitted in the past that reaches me in the present is of course on the table), that seems true but not really very relevant.