I think you've got the wrong end of the stick with respect to volume range. I'm not saying that LPs allow higher volume than CDs. What I'm saying is that CDs are mixed to have the quiet parts loud, too, so that you can always hear everything in a loud environment. See
https://en.wikipedia.org/wiki/Loudness_war for what I'm talking about. It looks like there has been some pushback in recent years, so not everyone is mixing their digital music for maximum loudness.