i nearly concede, but not quite.
the difference is that when the observer is moving and the transmitter is stationary. the frequency transmitted doesn't change.
it is only perceived to be different due to the velocity of the receiver.
When the transmitter is moving the actual transmitted frequency does change.
but i do concede that the perceived frequency of transmission will be different to that transmitted if the observer is moving due to the doppler effect.
as for why it is ok for FM radio transmissions in your car travelling at warp 9 then someone with some radio knowledge better help with that one.
it is a fact about the police and fire radio frequencies i'm afraid.
i got it from a guy that designed the radio systems for emergency vehicles many years ago.
regards
Geoff