It's not a "loss of quality", it's a transformation of the input signal - there are phase changes, there is distortion added (which amounts to adding higher frequency harmonics to the the original wave), some frequencies are attentuated and some are amplified. That the information is "still a wave" is irrelevant - the wave on your record is very different from the waves in the air in the recording room, and CD or vinyl it's a wave when it hits your ears anyway.There is a loss of quality from one analogue form to another. But you are still just moving a alternating signal - the information is still a wave
"Accuracy" has nothing to do with it, dude. In the pro-audio world, digital is the medium of choice for recording, and when people do choose tape over digital it's not because it's more accurate, but because they prefer the sound of the inaccuracy of tape to the sound of the inaccuracy of digital. Really. You're hung up on theoretical considerations that are irrelevant.Digital doesnt sound "better". It sounds cleaner. This cleanliness comes at the expense of accuracy, as with a digital signal the information available is finite.