even that is questionable. The best sounding SS amp I've heard also happened to have extremely low distortion and a lot of feedback. One of the worst-sounding ones I've heard had slightly more distortion but also a lot of feedback but still "good" numbers. I've heard low feedback designs that sound good, and others that sound bad.
sad fact is its pretty hard to quantify if an amplifier is going to sound good just with a couple of specifications. Wish that were not so, it would make all this a lot less frustrating.
The relationship between distortion and "good sounding" has long been a subject of debate, and of considerable research.
Some understanding has, however, been achieved. I'll try to encapsulate this as best I can.
In a nutshell, high distortion amps with regularly decaying low order distortion 2nd, 3rd, 4th, fifth etc.) sound good- which generally means those with zero or very low levels of feedback. In particular high order odd distortion- 7th, 9th harmonic for example- is audibly unpleasant, especially at low signal levels. This is unfortunate as this is exactly the circumstance in which crossover distortion in a feedback amp is most apparent. The loss of quality peaks with 15dB of feedback, and then grows better as the level of feedback increases.
This is due to the ears self distortion- which approximates a half wave rectification. Anything that approximates the distortion characteristic of this sounds natural. Anything that does not, and is above the audibility threshold, does not sound natural.
The audibility threshold decreases at a rate which is much higher than the ratio of the harmonic, so 9th order harmonics need to be c. >100dB below the fundamental to not be unpleasant. This means that amps with negative feedback and moderate input non-linearity need to have high levels of feedback even up to 20kHz or so to suppress the "bad sound"
The other issue is that real music intermodulates with itself in an amp, and amps with low levels of feedback and poor open loop linearity cause "hash" that blurs the sound. Amps with decent open loop linearity and no feedback do this too, but are relatively benign, and amps that have high levels of negative feedback throughout the audio band and moderate non linearity are also good.