It's the best you can do if that is the sound you want, but I would agree with Albert that it will never completely equal or surpass the detail possible with analog source, at least technically on paper.
On purely "technical grounds" or "on paper" - the CD is extremely good - far superior - perhaps it just doesn't sound as pleasant or as detailed.
FWIW - Dither is used to reduce/randomise "quantization errors" - it is especialy important when taking a 20 or 24 bit master and converting it to 16 bit. It is most important for the least significant bits where quantization error becomes important. Quantization error is due to the fact that the least significant bit (LSB) is only known to an accuracy of half of the LSB (the maximum digital resolution). When these errors are correlated with an input signal you can get some unwanted harmonics which dither eliminates by "randomizing" this resolution error to become white noise (raises the noise floor slightly rather than create an unwanted harmonic which might be audible).
For sure - if a studio makes some errors in the mixing and mastering they can create these unwanted harmonics and it can get onto your CD. A possible explanation for bad CD sound is that "sound engineers" are anything but "engineers" (most often they have a musical background rather than math and science) - it is very rare that they have a degree in time series analysis and signal processing. They may not fully understand what they are doing and generally learn by trial and error (sound engineers often start out in the tape room as a "gopher" and eventually work their way up to the mixing console).