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They are "defining " in a way, that no galaxy is bound to any visible relativistic effect. Everybody does that, albeit on at least two different ways.
How convenient!
We have superluminal galaxies, not bound to relativity. We have nearly light speed galaxies, free of any observable relativistic effect. Our hypothetical ancient space ship sent there (to a nearly light speed away moving galaxy), would slow down all its clocks, the surrounding galaxy wouldn't.
Funny.
Unimportant answer: No, it will appear to have slowed down clocks (as was explained to you at the beginning of this thread) and the ancient ship, if it is now at the same distance and stationary with respect to that galaxy, will appear to have the same slowdown.
The more important answer: at this point, this discussion as it is going now is looking pointless.
You have intuitions, backed up by some argumentation, but without a complete mathematical picture, that general relativity produces predictions that don't match observations.
I have intuitions, backed u... (read more)