Eckard,
The plasma dielectric constant is below n=1 at high frequencies when unmagnetised. (Constant E = 1-w2p/w2). It's often considered 'imaginary' as it implies superluminal motion. i.e; sfsu.edu. ..But it's irrelevant.
But you need to avid distraction by such 'red herrings'. Simply consider two clouds of particles or bodies of n = 1.1 if you prefer, moving at v wrt each other.
Light propagates within each at ~c wrt each rest frame as the local datum. i.e. on Earth it is ~c wrt Earth. But ONLY wrt Earth. On Mars it is ~c WRT Mars.
You say; "I don't feel obliged to deal with apparent speed." That's a natural reaction, which has been the 'assumption' used in all present science. But at least we're at step one; You know it 'exists as a concept at least. Now to show that it is important as we can 'observe' it, so be fooled by it, as in the pulses of apparently up to 46c found in superluminal jets by measuring 'angular change' rate. Superluminal Quasar jet pulses.
Now consider driving your car at 30kps; (frme K - we'll call it 'c') head on into a truck doing 25kps (K', = v). Neither of you are propagating at over 'c'. Both of you have a valid PROPAGATION velocity, entirely independently of each other and of ALL other arbitrary vehicles and frames elsewhere.
However, when you interact with the truck you will, I promise, find the 'apparent' c+v becomes a REAL relative speed which you MUST "deal with"! (don't try it on the way home, please take my word on that!)
We must then, and this is indeed new physics, learn to discern between the cases of propagation in the local background (1. 'Proper') speed, and also 2.; Arbitrary 'relative' speed, but which is only arbitrary UNTIL a physical interaction, when it changes to case 1!
That is why light, on interaction with an approaching lens, instantly slows, not ONLY due to refractive index c/n, but also by v, to c/n wrt the lens rest frame, just as your car would slow to use the trucks rest frame K' as it's new datum.
This IS important. The difference between 30 or 55kph is often life or death.
Best wishes
Peter