You don't have to read far in the link to get to this--
"Only later, after the singer is gone, does __________stitch the best pieces together, Frankenstein-like, into the song you hear."
I edited out the gentleman's name from the quote because we could probably fit anyone's name in the blank except we call it comps and takes instead of "Frankenstein parts." No disrepect is intended towards anyone. It's just that Frankenstein quote crystalizes some of the problem being discussed in this thread.
Listening to some piano material from the tape recording days over the weekend impressed on me again just how good the pianist was and had to be to make that recording.