I don't have a dog in this hunt, but if I was the guy setting up the challenge, believed anyone would be guessing at random, and it was my $10K, my first question would be "How many challenges would it take before it would be won by pure chance?" He has had thousands of people take the challenge. I'd bet that at 90% the challenge would have been won by now, even if there is no difference.
Maybe a statistics dude will read this and figure out the likelihood of someone winning the 24/24 challenge (assuming random guesses).
However, the statement of the challenge that got my attention is:
"The listener can take as long as they want to switch back and forth between A, B, and X at will. "
With that rule, someone can take their time and be thorough. Obviously, it would be best to bring in your favorite amp and a $100 Best Buy special. If there is a significant difference (which doesn't have to be "night and day"), and especially given familiar music and enough time, it should be easy enough to consistently home in on it! To miss even once is not saying there is no difference, it is saying that the poor amp sounded better!