I think you should keep the Luxman. I have the Pro-Ject CD Box RS2 Transport and it has added significantly to the enjoyment of my CD collection, however I would think your Luxman would sound just as good.
CD transports
I recently started running my CD player ( Luxman D380) through my external DAC and have found a significant sonic improvement. I wonder if I would achieve further improvement in sound quality if I traded in the Luxman and bought a dedicated CD transport ( price range 3-4 K ).
Has anyone gone down that rabbit hole?