So, bottom line, how can the record sound better than the CD played on compitent CDP?
You will get a lot of responses, but nothing in writing can answer that question. That's like trying to answer why a wine or scotch that is aged longer tastes better.
The only thing I would say is that I prefer vinyl, and the less digital processing the better. My best vinyl has no digital mastering, processing, recording, etc. It's ALL analog. As far as I know, you cannot play an ALL analog recording on a CDP.