OK, here is the test of distortion compensation enabled/disabled. Let me be exact on how I tested.
I power cycled the unit after being on for many hours.
I selected "Test" mode and pushed the knob in.
I checked Distortion Compensation and it is Enabled.
I measured the 1 Khz residual noise and distortion.
I then changed Distortion Compensation to Disabled which turned the mode to "user" (I made no other changes).
I measured again. Here are the results:
What we see here is that when we turn off Distortion compensation, we actually get a reduction in distortion in 2nd harmonic. There is a trade off elsewhere though with third harmonic actually increasing. We also see some small spikes with compensation enabled that are not there when we turn it off. So the overall picture is a mix.
Remeasuring THD+N at different frequencies we get:
So when we sum the total distortions+noise, distortion compensation is doing the opposite of what its name indicates.
Digging in further, we see this note from Benchmark Media on their DAC performance:
https://benchmarkmedia.com/blogs/application_notes/dac3-introducing-the-new-es9028pro-converter
This is very much consistent with above measurement where the largest improvement does come in 2 and 6 Khz. The problem is, to get that improvement I had to turn Compensation to Disabled.
Anyway, I think the designer needs to examine this and make sure that the UI matches what it is telling the chip to do.
And that we need to be aware that this is no a panacea in that some distortions are traded for others.
Let me know if you all agree with this analysis.