That's where I see developers put their magic.I like this shot:
View attachment 2086499
It makes me think of some kind of dynamic wallpaper that would make the DI glow slightly and randomly a bit like an amp tube. This would work best with a black background, and it would have to adjust size along with the DI.
Let's imagine for a second... Assuming that Apple's API for Dynamic Island offers some kind of liberty, I would love to see someone, let's say WhatsApp or Reddit implementing something similar when a notification comes in. A brief green (for WhatsApp) or orange (for Reddit) moving light halo to indicate a new message.
It honestly would look awesome (even more with a "real" AOD)
EDIT: I don't have enough animation skills to put that concept on video, but if someone does, please do it.