[dsqrt]

I agree that you can make such a construction in theory. However, in practice there is no way we can synchronize our clocks with an observer at the location of that binary star system. There is also no reason to do it: the precise time of the star merger does not have any physical meaning, it is just a label. Saying that some astronomical event took place on the date we observe it, is equally valid and free from ambiguities.