I always want to compare a good mix of music signal input to several preamp, and power amp (from entry level to high end) with the output signal from the same preamps, and power amps using a highly precise spectrum analyzer. The quantified difference can then be used in conjunction with listening tests.
Say the differences are not audible under specific conditions, people can still go with amps that compare well to the one measured best just for peace of mind. I trust such input/output signal waveform comparisons that should provide quantifiable overall results than the measurements of individual parameters such as THD, IMD, slew rate etc. I guess that's something I can only dream about because people who are qualified, and have the necessary equipment are likely not audiophiles/audiohoics, or can't justify doing such tests over what they are employed/paid to do.