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Correcting for the drop in bass or highs at low level is ONLY and issue

If your system is doing damage to the sound at low levels bringing the levels even lower than you would normally hear in nature. Since the sensitivity with level affects YOUR hearing and not the sounds per se it means you have the same bias with real live sounds.

However, if your stereo is not sensitive to small fluctuations at lower levels (most low sensitivity speaker systems suffer a "drop out" below a certain SPL) then it will sound lacking in both bass and highs compared to "the real thing". This is one of the biggest problems in audio and its affect on realism, IMO. It also manifests itself at higher volumes when a soft sound is trying to be discriminated (my late friend Allen Wright called it DDR, downward dynamic range).

A proper compensation would need to see how much of a deviation is being made and applying that dynamically with each change in level. The compensation would NOT be to the Munson/Fletcher curves but to whatever the systems original target curve would be at say 85db.

The problem is that you are always correcting what has already come before with a feedback system. With high dynamic music you might be applying the right curve correction at the wrong time!! A proper system would need to have the right response measured for a given speaker/amp combo and that file loaded into memory. THEN for the music being played the system would need to analyze the WHOLE recording in advance to be able to apply the right correction at the right time. Of course the listener would have to include their target reference level (min, mean and max SPL levels) or else it would STILL be incorrect with a random volume level selected.

A non-trivial problem IMO but still solvable.

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