What if they did HDR for audio? So an audio file can tell your speakers to output at 300% of the normal max volume, even more than what compression can do.
HDR audio already exists in the form of 24-bit and 32-bit floating point audio (vs. the previous 16-bit CD standard). Volumes are still mapped to the same levels because anything else doesn't make sense, just as SDR content can be mapped to HDR levels to achieve the same levels of brightness (but not the same dynamic range, as with audio).
Isn't that just by having generally low volume levels? I'm being pedantic, but audio already supports a kind of HDR like that. That said, I wonder if the "volume normalisation" tech that definitely Spotify, presumably other media apps / players / etc have, can be abused to think a song is really quiet.