The sound is hard to measure objectively, but the electrical signal, or the difference between two signals, is capable of unambiguous and precise measurement.
Which results in only the measurement, not what it will sound like. By the way, I corrected your misspelling of the word "unambigious" for clarity.
I don't believe we know how to measure everything we hear. I am not saying it cannot be measured "someday" but not right now. I came to this conclusion after listening to thousands of pieces of equipment and reading the advertised and measured specifications.
A perfect example of science not imitating art is the ongoing project to measure every parameter of a Stradivarius, even down to the aging of the varnish. The goal is to build a perfect modern version. So far it has failed. We are unable to recreate what was done because (current) precise measurements of all the parts does not reveal everything we need to know.
Rather than argue that a power cord can't work, how about hooking up one and giving it a listen? I have tweaks in my system that are the absolute best available and cost $5.00 or $10.00, unfortunately I also discover some that cost a great deal more.
Either way, I use what works and care little about the claims or specifications except as information. A perfect example is the Kenwood amp I linked to. 1000 watts and lower distortion than any amp I own. I would bet money it sucks in my system.