FWIW, I never play CDs directly on my system anymore. THey get ripped to music server and played from there using Squeezebox or similar network player with external DAC. This approach takes a lot of the guesswork and uncertainties associated with more error prone real time reading of data on an optical disk and the potential effect of this on jitter, etc. out of the process. Not to say that jitter might not be lowered even further in each case resulting in better clarity, resolution etc., , but I find this puts things in a pretty good place soundwise in terms of no inherent harshness in general. Just my experience.....
Also its worth saying that there will ALWAYS be some CD recordings that are inherently bright due to the way they are produced and mastered. Many newer rock/pop "loudness wars" type recordings come off relatively harsh compared to others. Many others that are mastered and produced better do not. More loudness generally means more of whatever there is in the recording to start with, good or bad. When the waveform peaks get clipped in the process, which is not uncommon in many modern pop/rock recordings, well, there you go, it is what it is and best you can do is damage control.