Black sunshine - before speaking with such certainty on these matters, and since it seems quite important to you, I suggest conducting a little test. It needs to be a blind test, so it will require the help of at least one other friend who can solder.
Take out a volume pot, and temporarily replace it with a 3 way rotary switch. Go down to your local Radio Shack and get a few packs 470kΩ, 220kΩ, and 33kΩ resistors. Measure them out on your meter, and pick out the ones that are most consistent with each other. Take two 470kΩ resistors that read consistent to each other, and connect them in series with two 33kΩ that measure consistently, giving you two approx 500kΩ resistor sets that read at least nearly identical to one another. Then repeat the test with the 220kΩ resistors, soldering up two sets of them in series, giving you two 440kΩ resistors. They don't have to be a perfect 500kΩ and 440kΩ, but they have to test very consistently with each other, i.e., it's okay if pair A is 490kΩ and pair B is 400kΩ, so long as final resistances are consistent within each pair.
Now have your friend flip a coin to decide which value gets two positions on the switch and which gets only one. Have them wire the switch so that in each position, a different resistor package is put in parallel from output to ground. Now if all this is done in secrecy from you, with no knowledge of which resistor is in which position, you should have a basis for a blind test. Of course it's only a test of volume pot values on 10, but conducting a reliable test with variable resistance pots would not only be much more cumbersome and complicated, but arguably quite unnecessary, especially if we are talking about all audio taper pots.
Now the job of you and as many willing listeners as you can gather, is to play the guitar, switch between positions A,B, and C, in real time, and identify which is the odd one out. If there are several listeners participating in the survey, answers should be written on paper, kept private, and not discussed between surveyors until all the results are in. If you feel the differences are obvious and easily heard then you can go the extra step of writing down which value each position is, but the main point in a test like this is not in describing qualities of a difference, but only establishing that it a difference is obviously and repeatedly identifiable.
Now if the differences are as enormously significant as you currently declare them to be, every person surveyed should be able to get 100% accurate results. If they are less than 100%, then a bit of statistical analysis based on the size of the survey pool would have to be done. If you had a large pool and the results came to around 33% accuracy, this would of course indicate no discernible change. Accuracy of around 60%-80%, would likely indicate some change recognizable by some listeners, but not night and day, black and white.
Of course I doubt you'll go through with this test, as why would you? Your mind is already quite made up. I personally do agree that in the right settings a difference of 20% in pot value can likely create a discernible effect. What I disagree on is that the effects should constitute a difference of fantastic vs crap tone, or even a universally agreed on better vs worse. I think you are inflating the effects to be much more than what they actually are, which I find to be a bit more subtle, and of course their quality to be quite subjective.
If you do decide to embark on this test, keep good records of your measurements and procedures, and I'll look forward to hearing back on your results, hopefully to be repeated by others for peer revue. If you decide you already know with enough certainty however, and feel no need to go through with such silly tests of something you already
know, then I would suggest two things. First would be that you have no business speaking with such authority and conclusive certainty, or debasing the claims of others as you seemed eager to do in post #28 (of course neither did they have grounds to speak in such a manner from the opposite side). Second is that I would recommend reading a book such as
this one, which sheds some relavent light on just how much our minds and perceptions can lure us in to a false sense of certainty that what we have heard or seen is always so infallibly accurate and true.
Good luck in your endeavors, and try your best to control some sense of objectivity and healthy skepticism before claiming absolute certainty in effects of factors like this.