My favorite way to listen to "While My Guitar Gently Weeps" is how I originally heard it via cassette. My tape was second-hand and well used by the time I got it, and often unravelled. The introduced distortion was amazing.
I've come to appreciate over the last several years that seeming imperfections often improve a medium in ways that are difficult to quantify or to convey. For instance I've noticed it's much more comfortable for me to read eink than to read from an LCD, and I think it may be because the eink has imperfections. I think the balls don't always rotate, and it creates a subtle noise texture in the background.
It reminds me of comfort noise that's played on telephone systems.
And ELO's Twilight will always have "twilight's gone awaAaAy" because the tape was stretched around that syllable :)