What are you listening to, the music or the outboard gear?
You want to take a listen to all of my Studio One, Greensleeves and Trojan stuff then

without the distortion it wouldn't sound the same...just ask Nando. You must understand that bands use distortion, compression and various other outboard and 'homemade' stuff to add to their 'sound'. If your system can resolve all of that then....great stuff.
It's rare for any band not to use some form of outboard whether it be a loop or running a digital stem through an analog tape at 7 1/2 ips using the 'wrong' tape then transferring it back to digital.
It all forms part of the 'whole'. Bowie, early Elton John, the Eagles, 70's Doobie Bros, UK etc all used some weird techniques. They didn't just stick a mic into the desk and carefully placed it to get the most accurate sound from that instrument, but you listen to the LPs and they are fantastic with some great ideas to make their 'sound'. Same goes for modern bands such as Elbow, Black peas, Gomez, Feist etc.