It would be very interesting.
In our music lessons at school in the north of England in the 1960s our music teacher used to play us exerpts of classical music to discuss on an ancient portable gramaphone with ceramic cartridge and a small oval full range speaker but I could readily distinguish an oboe from a cor anglais, and it has always puzzled me since I started searching for better SQ at home in the late 1980s that I could.
I am sure my ears were more discerning at 16 than at 75 but is that all?
I went down to the local Best Buy Magnolia Room to listen to speakers a few years ago, for some silly reason. I was surprised to discover that a lot of the smaller speakers I listened to indeed made Chuck Daellenbach of the Canadian Brass sound like he was playing a euphonium instead of a tuba. Now, the tuba that Chuck used in those days was a Yamaha 621, which isn't much bigger than a euphonium, but it was a contrabass tuba pitched in C so it has a 16-foot open bugle rather than a euphonium's (tenor tuba) 9-foot bugle. This means that, playing the same note, the C tuba is on a higher harmonic partial and this changes the whole harmonic structure.
The big speakers didn't do it and yes, we were playing the music at elevated levels.
That tells me that the speakers were displaying a noticeable amount of low-order harmonic distortion when pushed, which is something we routinely see in testing, so it's obviously measurable.
The speakers that did that also made the French horn sound like a trombone, which tells me that the distortion pushed up into the higher orders in noticeable amounts, too. It wouldn't take much. Trombones produce a taller harmonic stack than do French horns, unless the horn is pushed enough to get bell resonance. (Aside: Fred Young, a tuba-playing physicist, described the harmonic structure of a trombone as a "hammer on a frying pan," but he was biased.)
These are examples from my own experience where distortion products change timbre. Others might not have noticed it, being not quite as experienced with (especially) live brass instrument sound as I am.
When I hear playback sound with fuzzy sibilants, I'm thinking noticeable distortion in the highest frequencies we normally hear clearly, so the region from 8-12KHz sounds about right to me. But there may be some effect lower, too, around the crossover range for the typical 1" or 3/4" dome. And it may be that the sibilant sits on top of a lower-frequency sound that is producing distortion effects at higher frequencies. This happens in live-sound systems with wireless mics that have dying batteries, and sometimes with really dirty input contacts or leaky capacitors, but I suspect it's nearly always a measurable speaker defect. A speaker that exhibits a distortion peak at a particular frequency will reveal it audibly if pushed hard enough through a frequency sweep that the distortion rises into the range of higher than, say, -20 dB.
Supposedly, my B&K amps are more apt to do this than other amps, but I sure don't hear it.
Rick "approaching the ability to measure those amps on the bench" Denney