Right...That's what I mean. If you preserve incredibly high dynamic range with digital media that means your average level is going to be very low volume/signal strength, requiring much more gain to get the average sounds to a typical playback level. I wish there were more recordings like that. Just turn up the volume and the problem is solved. But the problem is, if you attempt to play a regular heavily compressed song after, it will blow your head off and make the dynamic recording sound weak in comparison. That's exactly how the loudness war started. Get the average level as high as possible. Louder=better or more noticeable.
I'd like to see groups make 2 mixes. The squashed "radio" track and a much lower average volume mix with more dynamics.
I see this issue as separate from your speaker system being capable of producing huge short term output. I consider that a reasonable goal that improves sound quality on a number of fronts.