For some reason I was picturing the Daggerfall version.
I always found the Daggerfall incarnations of each Daedric Prince to be the most authentic-looking. If I want to lie and come up with a phony lore excuse, I'd say that the avatars you encounter in Daggerfall are a much more accurate representation than the statues. Yes, the Princes can choose their appearance, but the statues throughout Cyrodiil probably had some degree of artistic license about them.
Daggerfall's Azura, on the other hand... :ahhh: