Pentcho, (Eckard).
"Any reasonable interpretation of the Doppler frequency shift leads to the conclusion that the speed of light relative to the observer (receiver) varies with the speed of the observer (receiver), in violation of special relativity:"
I agree, except that you're lumping in the 'interpretation' of SR with the postulates. I'm pointing out that no matter how much nonsense the former is, the postulates can survive and be consistent with your first proposition; c is relative to each observer. But I point out that rationally that's only valid if it changes speed to the new datum for c ON ARRIVAL and interaction. Not before.
That is also consistent with Eckard's statement that "Doppler blue or red shift does not change the speed c of propagation." Just as with sound, there is an unrecognised difference between propagation and relative speeds.
Even Newton found that, but like Einstein (and most today) couldn't successfully rationalise it. It's the DATUM rest frames, represented by co-moving bodies that change. It'll just be 'unfamiliar' at first.
Eckard,
There's no such thing as a 'seeming' speed! (all speeds found 'seem' to be c anyway!) All physically measured speeds are real local ones. It is RELATIVE speeds that are not directly measurable that are 'arbitrary'.
Contrary to your assumption about space there is of course ALWAYS a local reference frame; It is the nearest or dominant massive 'body', whether a planet, sun, galaxy, or bunch of electrons. That is always the reference datum. If you try applying that (each side of the astrophysical shock or near field TZ surrounding all bodies) you will find the fully consistent logic.
Best wishes
Peter