In the end I eliminated both my CD players altogether. Ripped all my CD's to a network drive and used a Sonos Connect for streaming them and online content. The reason I know how much difference a streamer can make is that as an experiment this winter I put together a Raspberry Pi box with an Allo DigiOne streamer board in it to see how it compared to the Connect which is known to be a bit jittery. Immediately noticeable improvement, two different streamers, same DAC. In your case, two CD players, same DAC, noticeably different. Honestly, I would just chuck the Sony as I do not think there is a way to fix the issue.