Auto tune pitch correction is entirely separate from whether a properly engineered digital recording can match an analog recording to a level well beyond the ability of human biology to detect any difference in randomized, controlled, double-blinded ABX testing (https://en.wikipedia.org/wiki/ABX_test).

> The problem is that all other things are no longer equal

There are many digital recordings which have no pitch correction or other tonal manipulation applied. In those cases, all things are still equal for the purposes of the statement above.

As a separate matter, I agree auto-tune and other manipulation can be inappropriately or excessively applied, however over manipulation isn't unique to digital, it occurred in the analog era too – such as dynamic range compression and multi-band dynamic equalization. Those tools existed in tube-based, purely analog form long before digital recording became the norm and caused similar complaints when they were misapplied. There were even analog pitch correctors although they weren't nearly as flexible or precise as today's digital versions.