I do not agree. All amps sound different, but unless you have the chance to AB them, and know what you are listening for, it's not always obvious.
If it's really bad, there is no vitality at all to the music - flat, and uninspiring. It is merely an emotionless, mechanical rendition, like a bad player piano....
I think the ear is very sensitive, particularly on vocals and certain percussive sounds.
Specs won't show this. An SET with 4% THD sounds somehow 'better' than a Phase Linear 400, yet the PL has only 0.1% distortion. Could it be we are measuring something which is obvious to a distortion meter, but almost wholely unrelated to the subjective experience of listening?
The deficiencies of an amp are not apparent until you hear another working the same source, material, cables and speakers. Then you can pick the differences. Soundstage issues are not subtle; with a good recording and a good amp, particularly on choral works, you can pick out image (notably soundfield) very easily. Another excellent test is clapping. It prescribes the soundfield very accurately.
The 'feel' of your present auto is so much more apparent when you take a late model 330i Beemer for a test drive. Then you know how good it can be. Something very similar happens with amps, and often manifests in the engagement of the performance, whether you connect emotionally with the music. By this I mean spontaneous grinning, tapping of feet, a feeling of being part of it. A bad amp can't do this, at least to nothing like the same degree.
With a good amp, even an ordinary speaker sounds pretty good. The reverse is not true.
This is MY opinion only. Many will disagree; that's their prerogative.
Cheers,
Hugh