Hmm. I may be a total rube here. But, from what little I know, the test amp would only be able to operate at the extreme low power end of its output so as not to overdrive the following reference amp. Yet, most all solid state amps exhibit increasing noise and distortion as a % of signal as output level is reduced.
Do they instead run the test amp at higher power, but externally lower the output? If so, is the padding circuit itself transparent? It is not in the circuit when using just the reference amp. @sergeauckland may have answered this.
So, these tests, while interesting, require the test amp to commit an unnatural act, an extreme case, unlike their normal operation at normal output power directly into a speaker. So, what do these tests really mean?
I agree with Keith. I would rather trust the direct amp measurements, even into dummy loads.
A Straight-wire Bypass test only tests for transparency. Can you hear it when it's in circuit? Yes/No. It can be done as an ABX, or my preferred alternative, AA, AB,BB, BA, and one has to choose between same/different.
The output of the first amplifier has to be attenuated so it doesn't overload the second amp, but I think anyone with half an idea of how this stuff works will accept that a simple resistive attenuator is transparent. I know there are those who think even resistors have a sound, but then there are those who believe the earth is flat, that there are fairies at the bottom of their gardens, and that Father Christmas comes down the chimney every year. I think we can discount those people, as they're the same people that won't take a blind test as the stress of the situation affects their hearing, and would much rather change the cables for tonal correction than ever sully their pristine systems with DSP.
S.