Steve,
Good post, sir and one which clearly backs-up my comment that "groove" means different things to different people. The key word in your post was "natural" which sums up what I think about TTs as they present the music in a more natural way than many CD players I've heard. Btw, was this a stock Wadia player (important point) or one that has had it's guts and other internals ripped out and replaced with new components? I only ask as the majority of us use stock players available for purchase through the usual sources.
That's what my experience suggests hence the reason why I was surprised that WM suggested that there were CD players that cost around 50% of the cost of my TT front-end that could do what my TT does for me i.e. natural, fluid and totally involving music. I would have thought that to get close to that level of enjoyment, I would have to invest double or even more than the cost of my analogue rig in a CD player. But still, I am confident that WM will post the names of the CD players that he had in mind.
It's good to know that we can all get good sound for less money which is what we all want so I anxiously await the good man's CD player recommendations.
Enjoy the music,
Lawrie.