The objective measurements just show numbers.....they have little to do with the sound of an amp.
This statement is false. People talk about the sonic signature of an amplifer- that is its distortion signature. The problem isn't that the 'objective measurements' have little to do with the sound- they have everything to do with it- the problem is that the important measurements are rarely published anywhere.
If you want to know what is needed to create an amp that sounds like music, here are the things you need to see:
less than 1% phase shift at 20Hz and 20KHz
the same harmonic distortion at all frequencies, not just 100Hz (as is typically measured).
Either one of two things- either you have the primary distortion components be the 2nd and 3rd such that they can mask the higher orders. or the distortion is well below 100dB down (keeping in mind that this is true even at 10-15KHz). Or both.
IM distortion must be low- 0.05% or less.
If you satisfy these specs, you'll have an amp that sounds very musical. And if the amp does not, you can forecast what it will sound like. But most of this information is never published.