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As I said before: if, in the 'science', the system deviates from neutral before the distortion is applied, then preference for distortion of the signal is not being tested. If all the tests were done with Kii Threes or D&D 8C I might be persuaded that it was attempting to be more scientific, but even they are not completely neutral.
And then there are other human factors: who chooses the musical examples; at what volume; how do you know people are not just responding to novelty, etc. This isn't science, but just casting around randomly without any theoretical justification. You may as well try scrambling the signal, distorting that, and then descrambling it. Or do sum-and-difference on the stereo, distort those, and then restore the L-R channels. Digitise the signals and pass them through a magic lookup table with 'golden ratio' properties. Etc.
Well all systems deviate from neutrality. And the problems you list to do with experimental choices apply to any listening test. Does this make any listening test absolutely futile then? What's special about testing for distortion preference as opposed to testing for any other preference? Do you believe there's no place for science when it comes to determining listener preferences?
Also, do you guys who are so against it ever mix or produce music? Maybe the idea that a listener might prefer added distortion makes a lot more intuitive sense to me because so many times I've added compression, EQ, saturation, harmonic distortion etc. etc. to a mix and heard the subjective improvement.
Or perhaps because doing this makes one aware of how much deliberate distortion is added to almost every recorded signal that's ever gone through your stereo system in the first place.