I'm not so sure the main argument is being blind, it seems moreso that stress, etc. can change the situation and outcome.
I'm sure it probably can but tests of all kind are stressful. Should we ignore failure of a Bar exam or medical exam/final because the test was stressful?
The point that the one poster was claiming that ABX testing is not necessarily a valid method to use if you want to claim that one product is superior to another. It may be that current methodologies and technologies don't allow for it.
That's not to say that it can't be done, but to do it in a lab or on a showroom floor might require an investment in technology that's cost-prohibitive.
The other issue is that some of what you're trying to do comes down to a particular person's bias. You can, I presume, produce a graphic image of a sound and compare that image three ways: the original sound, reproduced by condition A, reproduced by condition B. The condition whose graph most closely matches the original may be said to have the highest degree of fidelity.
But that doesn't address whether or not it sounds "better."
Think about Iron Chef or Iron Chef America. Basically, when it comes down to picking the winner, you have three judges to impress, and most of the time, it seems as if those three judges have lots of disagreements over what tastes better.
The food may be prepared the best way possible by the most highly skilled chefs available, but if I don't like mushrooms or yellow mustard, I don't like them, and if those are ingredients in your food, I won't like the food either. I don't care if it's the most expensive mustard ever made. I still won't like it if it's yellow.
In short, we all have our own biases and that will make it impossible, really, to prove anything conclusively when it comes to making a universal statement about how something sounds.
But, as I mentioned earlier, if I want to pick which speakers or which speaker wires sound the best to me, it's best if I can remove as much noise from my signal path (metaphorically speaking here) as possible. In short, I want to try and get as many of my biases out of the way as possible.
ABX testing probably works best on an individual level when you're trying to choose a new speaker or if you're trying to determine whether it's worth dropping $13,500 on a pair of speaker wires.