The counterpart doesn’t have to be active when we intercept a signal. They could be dead and buried, along with their civilization. Space is big and light isn’t instantaneous at a distance.
Well, that's just axiomatic. if n is the number of relics per unit volume, that comes out to be N/V, so the equation becomes N=N/V*V, which is N=N
Seems like a pretty stupid point to make.