Yes live sound from ordinary events are more dynamic than any recorded music. Thank goodness, due to the perceptual limitations in human hearing we don’t have to maintain the natural dynamics of a snare drum to have the recorded signal sound like a snare drum. The film and broadcast industry standards recommend an 18 to 20 dB crest factor, relative to 0 daBFS.
Music recording on analog media were typically limited to 13dB Crest factor Max. Less for Cassette.
With digital signals there are little technical limits other than the need or risk of needing to tweek the volume control between songs.
Check out this video I did a while back!