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ACtually, a caricature does not put the same filter on every picture...it simply focuses on capturing a very different part of the person...an Al Hirschfeld caricature is an extreme example...but Al Hirschfeld captures far more of a person than a police mug shot of the same individual.
Now i am NOT condoning we go ahead and use caricatures as an appropriate direct analogy for audio. But i AM using it to illustrate the point that there may be elements of SET/NOS or caricatures...or paintings that capture something you cannot measure with a ruler, but that yOU CAN measure somehow else...that still relates directly back to the original recording/tape.
For example, some of us having probably seen those huge pixelated photos (examples above)...somehow the human brain knows it is Albert Einstein. I leave the other one anonymous but anyone can easily google it if need be or PM me. It is remarkable...the brain clearly is picking something up that can recognize these individuals with a blob...one could not possibly measure that photo and say accurate...but the brain KNOWS who it is.
By measurements, a computer would clearly tell us there is NO way we should know anything about who these people are. The measurements would be ridiculously bad. Off the charts bad. But our brains know. Thus, our brains are measuring something or picking something up we have not yet measured that can assimilate certain video or audio cues.
Coming back to your analogy of painting...then the question still applies, and one could easily take a photo of someone...and none of us would recognize that person standing right next to us. And you might have the right painting and be able to pick that person out of a moving crowd of 25.