Umm.. yes you can actually.
An example would be balanced cabling. If there is distortion in the form of RFI introduced to the signal, by adding distortion of the exact opposite to the signal you are back where you started.
However, this convocation is very off topic now I feel. The point is an accurate amplifier is not always going to 'sound better', aka nicer. This is PROVED but the fact many people prefer valve amps. You say that 'real' (meaning as close to the original performance as possible) will sound better. But again this is PROVED to not always be true by the fact recordings have so much done to them in the studio in order to make them sound 'good' rather than 'real'.
EDIT: OOOoooh 300th post! It took me long enough!