Appreciate any education in this area, but my understanding is that DR is how quiet and how loud a track goes, and therefore subjectively the music itself will seem more "dynamic" and "powerful" and its effective volume changes
Two factors:
1 - Is that artists (the combination of musicians and producers) often use compression intentionally as a musical effect. Many rock songs were mixed to sound good on radio, and so were compressed for best results in that medium.
2 - Is that more dynamic range is usually better - but - there are many other factors that can influence sound quality. There are many recent audiophile releases of 40 and 50 year old recordings, but in many cases, the original master tapes have lost magnetism and so the timbe of instruments do not sound right, and many other small details are lost. So, even if it is remastered by a meticulous audiophile engineer who gets a high DR rating, the actual sound is not as good. An example is "Close to the Edge". The master tape pretty much died some years back (as verified by one of the engineers who did a recent remastering), so even though there are recent audiophile remasterings, the best sounding version is still the early 90's CD done by Barry Diament.
In short, there is no magic number that indicates better sound quality.