Thanks Peter,
I think it has been worthwhile clearing some of the important cobwebs. We can deal later with 'real insight into actual mechanisms'. I also agree the unignorable fact that 'Receptors' are 'Observers', but this is sometimes used to introduce confusion in relativity discussions.This song is composed to celebrate vision 2020.
Your analysis makes PERFECT SENSE, even if the first NO DIFFERENCE answer got it wrong but was made up for in the latter part of your post that: "...NO atmosphere, so light would NOT then propagate in the rotating frame but in the background frame, in which case you will be in motion during transit so there WILL be an observed time difference".
The office globe has NO atmosphere so there WILL BE be an observed time difference as you now rightly stated.
In summary the differentiating participant in the proceedings whether or not there will be travel time differences is: the presence or absence of an 'atmosphere'. So when there is NO atmosphere there will be travel time differences. BUT when THERE IS, there will be no travel time differences.
The postulate of Special relativity was invented to explain and make sure that WHETHER OR NOT there is an atmosphere, there WILL BE NO TRAVEL TIME DIFFERENCES. It is on this that the validity of Special relativity rests and Einstein staked his theory's validity on this point. He has a quote somewhere buttressing that.
Experimentally, no travel time differences were found by Michelson & Morley type experiments. The explanation uses time dilation and FitzGerald-Lorentz length contraction. As there remained the contention whether any 'atmosphere' played a role, since such experiments have been carried out in vacuum with SAME result.
Experimentally, travel time differences were found by Sagnac type experiments for his 'office globe', using a turn-table.
Ordinarily, this would have forced a re-examination of the SR tools of time-dilation and length contraction since these did not come to the rescue in this case, but the horse had escaped from the barn and is still on the loose 100 years on. Sagnac's experiment remained in French (till recently translated) and was virtually suppressed till let out of the bag by the Global Positioning System's findings. Einstein's 1905 German paper was translated to English and disseminated world-wide with time-dilation and length contraction becoming new participants in physics.
These discordant findings should have forced a search for a possible 'atmosphere' candidate remaining present even in vacuum. However, in 1905 and 1913, there was no viable candidate. But now in 2014, I think there is (but I don't think there is any need stating this again, haven said so earlier).
Please note that the commonly used and stated cliche, 'light speed is always constant' irrespective of the motion of the observer/receptor arises from this finding and is not really about Propagation speed at c. It is about resultant speed being always c, irrespective of what v is.
But Einsteiniana has succeeded in using words to muddle up the various speeds to cause confusion where it was not existing, viz. 'relative speed', 'propagation speed', 'resultant speed', 'absolute speed', 'coordinate speed', etc, all sometimes used interchangeably. Hence my requesting we leave them out so the cobwebs can be reduced.
Finally, I think we are reaching a point of convergence in realizing Vision 2020 as you call it. If you agree, we can now look at those atmospheric effects.
Low battery signalling...
Goodbye,
Akinbo