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.
I think this text should help you understand:
https://www.amazon.com/Spiritual-Vibrations-H-P-Blavatsky/dp...
H. P. Blavatsky, 1926
The atoms in the distant stars are the same as the atoms here, but they are emitting light at a different time relative to where we are - that is an explanation in terms of time. It relies on destructive interference between the light we emit and the light the distant star emits.
The two explanations are geometrically equivalent.
They are consistent with the worldview of people like Maxwell, Bjerknes and Hertz. They looked up at the sky and saw stars in jiggling jello. It isn't a bad heuristic. It just went out of fashion.
yes, we get that. The idea that this somehow causes "you won't see it" ... well it's an idea.
An idea found in new-age mysticism.
It's not science of any kind.
This part is where the jargon serves only to hide the fact that this is nonsense.
a) statisical data to show evidence of said idea
b) a mechanism by which said phenomenon could occur.
Like genetics. We knew the 'idea' had merit from Mendel's experiments and Darwin's observations. Watson, Crick, and Franklin showed us how.
Yet, in this hypothesis, the evidence for the invisibility of some stars is how invisible they are?
... but tired-light then goes on to fail at explaining other data, and experimental tests.
By all means, come up with new hypotheses to explain existing phenomena. When those new hypotheses subsequently make predictions that disagree with experiment and new observations, the choices are to acknowledge this or to do what you appear to be doing. Please stop.