OK, I'll try again.
I do not think that either side of this argument understands what testing can or cannot prove.
Testing cannot prove superiority of a subjective preference.
Testing can prove that a difference can be shown to exist, or not to exist, within a statistical margin of error.
Testing cannot prove that any two sounds are identical. It can prove that in a rigorously-designed and administered double-blind test, two sounds can (or cannot) be discerned as identical. The difference is subtle but important.
Why is this? Surely science can prove if one thing is identical to another, right? Yes, but within the constraints that we know that what is being tested is what makes them identical. You can measure many things about sound, but you cannot measure what the listener hears - only what you are measuring for, which may not be all there is to measure.
Proper testing can indeed prove that any two speaker cables can be discerned from each other to within a statistical margin of error. If it can be repeated at will, it can be treated as a fact at that point. That does not prove superiority, and indeed, it cannot.
The question about whether or not the testing is scientifically rigorous enough to establish the conclusion is another issue. It is perfectly acceptable, and indeed part of the scientific method, to question the validity of the test itself.
But if we assume for the sake of argument that a proper test can be designed and implemented, there are only two things which can be shown as a result.
1) That a difference either can or cannot be discerned between tested cables.
2) If a difference can be discerned, that a preference among the test subjects can be established.
Both conclusions would have to be repeatable by anyone duplicating the test, assuming they followed the same protocols.
And neither conclusion would prove superiority of one over the other. The best that could be done would be to establish that there *is* a difference, and that a majority of testers preferred one over the other.
It does not invalidate anyone's preference if they choose something other than the 'preferred' cable, nor does it make them 'wrong'. And again, it does not prove superiority.
I think if we were to take a step back and simply look at this as if it were widgets and not something we have emotional attachments to, it would be easier to understand what science can and cannot do for us in this set of circumstances.
There. That's the best I can put it, with malice towards none.