This is a pretty cool concept. Also, why would they want to communicate anyways? If aliens are super-advanced they might see us like we do ants. They know we are here but not interesting enough to bother with. Or if they are slightly more advanced maybe they use encryption assuming that other civilizations are hostile. To visualize (crappy metaphor coming!), take yourself blindfolded into a forest at a random time and place in history. You could yell out for fellow humans. There is a chance a medieval peasant will come, but you are more likely get eaten by a T-Rex / predator. Regardless, the Fermi Paradox is hard because we only have a sample size of 1 with an extreme bias (since the sample is us). There could be considerations we haven't imagined yet.