What you need is an amplifier with the good old fashioned loudness control.
Those old fashioned loudness on/off controls where at best only correct at a specific volume. Audyssey has a terrific loudness control that follows the Fletcher Munson curve (Dynamic EQ) and is adjusted according to volume below the reference level. It can be adjusted by setting an offset below the reference level.
I have found Audyssey can at times introduce a ringing around 2k, so I keep its curve filters set to operate below 500Hz. I believe the response filters are independent of Dynamic EQ as I have never had an issue with ringing.
Here's an interesting discussion: https://www.audiosciencereview.com/forum/index.php?threads/device-for-equal-loudness-fletcher-munson-curve-do-any-speakers-adapt-to-this.10949/