I’d answer that by saying, yes you make a fine point, but the answer is that in theory such should be the case given what is known about the physical properties of the waves and universe.
Obviously it can’t be empirically determined.
Point taken, but who knows what variables might interfere with such a transmission through deep space?
Could ordinary dust particles, dark matter, or dark energy diminish the strength of such impulses? What about gamma rays and other energetic stellar phenomena? Space is filled with them.
I'm liking Nully's idea about quantum entanglement. Instantaneous transmission without interference at any distance.