Hi Georgina,
Yes, CMB map is an observation product, it's very essential how accurate it can be. Few lines from the case axis of evil: "For example, a study that includes the Planck mission results shows how masking techniques could introduce errors that when taken into account can render several anomalies, including the Axis of Evil, not statistically significant. A 2016 study compared isotropic and anisotropic cosmological models against WMAP and Planck data and found no evidence for anisotropy."
In general view, maybe only standard cosmology modell is needeed as prerequisite, it would mean that f.e. background temperature on large areas of space is same everywhere. Thus the source of background temperature, power output of CMB, must also be constant everywhere on large areas of space, and decreasing equally by time.
In behalf of instrument technology, adequate accuracy level might be achievable. I made the assumption that the chance of mean wavelenght could be used to measure the change of total power output. The accuracy of LIGO, 10^-4 th the width of a proton, which is about 10^-15 m, giving a gauge resolution of 10^-19 m. Age of the universe is 13.799±0.021 billion (10^9) years, and a year about 31,5*10^6 sec, giving 10^15 seconds. Thus the accuracy level of LIGO detectors could calculate cosmic time at accuracy of millisecs, if my assumption holds.
I think, if aliens have just same kind of instrument, EM is should not be needeed for synchronization of clocks, just to agree the future CMB mean wavelenght indicating the party second.