If adding distortion makes music more pleasing, I wonder why the music mixers have not found this. Some guitar effects are distortion, so it should not be too hard for them to relate to mixing. There must be some experiment or maybe accident that make people find out adding distortion is better. Of course those are just guesses.
But they have. Plugins for recording and mixing software, that add "pleasing" distortion, already exist, and I have to presume, are being used. Edit: sorry, I see others have already replied about this. Maybe I should add, that I have used just such a plugin and I quite like the effect on the sound. Definitely more enjoyable/pleasing!