There is no "most important" in an audio chain. Think of yourself as looking at a garden(your recording of musicians in the original venue), through a number of glass panes(source to ears/your electronics and room). Does it matter which panes of glass are dirty or off color, with regards to what you see? Some components have a harder job to perform than others. I've always considered converting a series of electrical impulses into sound waves/music(accurately/believably)and interfacing that with the average listening room, as the most difficult to accomplish. But, that's just my opinion. The player you own is highly regarded/sounds damn good, and yes- You'd have jump a couple performance levels to improve on it(at least get into a tubed output player). Again- my opinion/experience. The improvements in the upper tiers of what's available in players are way more than subtle, affecting sound staging(width and depth), image size and height, instrumental timbre, detail without grain/stridency, frequency extension in both directions.... well- basically everything important to musical realism. As stated- Whether it would be worth it to you to upgrade, would depend on the rest of your system, and your ears.