It is normal for the measuring instrument to have accuracy of at least 10x better than what you're trying to measure. So, the monitoring power amp should have far less distortion, flatter frequency response and less noise than the PAuT. When the straight-wire bypass test was devised, I guess sometime in the 1950s if not before, one could get laboratory-standard amplifiers with low enough distortions whilst "normal" HiFi amplifiers had rather more.
Nowadays, with even everyday HiFi amps having vanishingly low distortion, it might be difficultto find something of even lower distortion to act as the monitoring amplifier. However, if we accept that the threshold of audibility for distortions is somewhere around the 1% (depending on the harmonic structure) then the earlier standard for "perfection" of 0.1% es exemplified by the Leak Point Ones, and Williamson amplifiers, still holds. WHatever the harmonic structure, if distortions at all levels and frequencies is less than 0.1%, that's transparent, certainly for most people, if not everyone.
If the PAuT has distortion of 0.9%, fairly typical for a valve amplifier, then any modern SS amp will easily be 10x better.