I for one appreciate you starting this thread.
As an avid analog guy making my first recording in the '50's,
It was my son who gave me the "Aha!" when he said, "Dad, the reason they don't hear the digital artifacts is that they've never heard any sound but digital." My opinion is that digital algorithms have not caught up with the infinite resolution of analog.
Digital distortions occur when changes are introduced while the audio is in the digital realm - including EQ, compression, mixing, even level changes. A tiny volume change of 2 db in the digital realm sends all those digital samples (representing the analog waveform) scattering to the next closest digit representing the new level - and since the number of bits is finite (16 kilobytes for CD) the shape of the wave is permanently altered. That change in wave shape is distortion, and can be detected by the human ear some or much of the time.
If I use excellent digital converters to record and play back without altering or mixing while in the digital realm, I have not been able to tell the difference between that process and a well aligned tape machine. I currently use Alesis HD24 to record, but ALL mixing, EQ, compression - ANY audio change - is made with analog processing. This is my conclusion after many hours of A/B comparison listening. The Alesis has greatly simplified my recording by eliminating the need to align heads, adjust speed, run alignment tapes, etc. Too bad the HD24 has been discontinued, but a great users group keeps the machine alive and well.
I say good on you guys who still use your ears as final arbiter. I think audio people have given up too much analog quality for the convenience of digital.