Well, then,would that necessate the naming of the spacetime zone identifying the pulsar you are navigating from, eg standard B1913+16.
Unless it is not necessary to use other pulsars being one could cover so broad an area of space it won’t be necessary.
What about measured time itself, (clock time). Independant from Earth and without the relation of sun to it, would they also create a different method of keeping time? Pulsar clock time?