It is good to see something like this but the objectives are not that clear. Do you want the results to be externally accepted or are you just doing it for a bit of experience/laugh. Do you want to show that there are differences, there are no differences or both? Differences of what precisely? Music, revealing test tones, unrevealing test tones? Make it easy to hear differences or hard? ...
As has been pointed out earlier, the NAIT will distort the output signal an audible amount relative to a normal audio amplifier given a suitable signal and listening conditions. For example, playing an 18kHz tone (assuming youngish ears) and instantaneously switching will be trivial to identify by the difference in level. Waiting a minute while someone changes cables will make things more difficult but probably not too much given a large difference. Using music will make things a lot more difficult particularly if you cannot hone in on what seems to be different and instantaneously switch.
At present it looks a bit like a test where the "objectivists" will say the amplifiers are different (i.e. at least one amplifier is not transparent) but the test is conducted in a sufficiently insensitive manner using music and long changes that the "subjectivists" cannot identify any differences. It would be a fun outcome.