Time, a brief history

You'll make a relativist yet

Hmmm, yes and no. By talking about another galaxy you are introducing GR effects into what was originally a question based on SR. Say the info is coded into the frequency of a photon. Although the photon experiences no time as it travels from the transmitter to the receiver, it is red-shifted. The frequency reduces by an amount related to the time passage of the photon as measured by comoving observers in the respective galaxies.But if we take a nearby Local Group galaxy that we assume is stationary wrt us in the Galaxy, then yes, the information will not experience any real measure of time.When you look at a star, the photon emission of the electron in the star and the photon absorption by the electron in your pupil* have no distance between them. We are so connected to the rest of the universe (* assuming a free path through the atmosphere)