Mrtennis,
The fact that you write "alleged" to describe the benefits seems to show an unwillingness to believe.
If I were you I would make it a priority to move to some sort of computer "transport", if not for the "alleged" benefits in sound quality, then for the undisputed ease of accessing your music collection at the swipe of an iPad or press of a key.
I find it hard to believe in the 21st centurary that some wish to look through hundreds of cd covers to find the music they want, then wonder over to a steam powered disk player, pop in the disk, wait for it to read the index, then fumble for the remote to the press play. Why would you do this? The love of the audiophile hair shirt?
Even if the sound quality was the same (and is more likely to be better) the freedom is a much greater benefit than any nuanced euphonics. You can have high quality artwork & all the info as metadata embedded in the file.
It reminds me of the final days of my TT when I could listen to the whole album without having to flip over and clean before playing side 2. The ritual in the end was bogus. It was music we all fell in love with, not rubbish technology & its limitations.