Blind listening test subjects are usually allowed as much time as they need.@cleeds, the listener can take all the time desired during the round. Requiring the same time between rounds is to make sure that the same time elapses between rounds whether switching cable directions or not. A counterexample is a recent(?) test that Rick Beato either performed or mentioned in which the respondents were to attempt to tell the difference between a "cd" quality and a "high-resolution" quality recording of the same music. Some of the respondents were clever enough to intentionally game the system by realizing that the larger files took longer to load. Even if not intentionally "cheating," the differing load times lent an unwanted bias to the test. (I think you probably understand all this and perhaps did not read my post carefully.)
I concede that there are some details that would need to be attended to, but still maintain that a fairly simple test along the lines I described would be enlightening and perhaps conclusive. To reject the hypothesis that one cannot hear directionality, multiple persons who make the claim to be able to hear would have to be tested and found not to be able to make the right call a statistically significant amount of the time. However, if we can find one person who can consistently tell the difference, then I would say that that "proves" that some can hear the difference. (And I doubt that I would be one of those.)