Did you even read what you posted. Here let me help!
In addition, the discussion emphasizes the usefulness of the ABX approach for testing clinical populations.
The results are interpreted as providing evidence for separate auditory and phonetic levels of discrimination in speech perception.
The obtained one- and two-step functions for both ABX and 4IAX tests are consistently better than the predicted discrimination functions, although the form of the obtained and predicted functions do match each other reasonably well.
The testing had absolutely nothing to do with blind testing by the way. ABX is just one of many test procedures used. Preference testing, pair testing, triads, etc.
Guess what, our brain can only detect timing differences out to 0.5 milliseconds. Does that means that we can’t discriminate audio signals longer than 0.5 milliseconds? If you don’t understand what you are reading then it is best not to comment with authority. I don’t ask my mechanics to interpret my x-rays for a reason!
Here let me illustrate how flawed your logic is. Audiophiles regularly claim that they can instantly tell the difference from one cable to another because the soundstage got wider, instruments better defined, etc. Most of that is embedded in first arrival information, stuff on the order of milliseconds. By the logic you attempted above, you should not even have been able to remember a difference! But you did. Why? Because we don't remember waveforms, we remember the impacts of them, but the accuracy of those memories decay too. So if I play something now, and play it again 30 seconds later, and something in the image shifts 5 degrees, you will notice it. But if I played one now, and another in a week, you would not be able to accurately identify a shift and the result would be random.
p.s. The test in the literature is a discrimination test, like positional accuracy tests. It tests a very specific processing feature of our auditory system. The funny thing is, tests like this within the domain of audio reproduction don't even need ABX testing. I simply have to test with 1 cable, look at my results, then repeat the test with a different cable and look at my results. If they are the same, the cable made no difference. Does not matter how long our audio memory is. Again, don't take your medical x-rays to your mechanic.