Since I have set up my system to be absent of loudness cues, it frees me to set the volume to the level that seems appropriate for what I am listening to. A solo guitar being quieter than a full orchestra for example.
For example, do the harmonic loudness artifacts you describe commonly fall into the frequency ranges depicted that ears are most sensitive to?
The answer to this question is usually 'yes'. The reason is that the amplifier has to work harder to reproduce the lower frequencies. Their harmonics will often show up in the 'birdsong' region.
I can provide a simple test that shows how important this odd ordered thing really is. It can be done with simple equipment and is quantifiable. I've offered it before. If anyone here is interested, just say so.