Yeah I posted a picture of my ugly lips a few months ago but this condition was spectacular given that I just let my lips without getting in touch with any liquid, that's why there was massed dead skin on all the concerned surface.
In fact, if I live in a kind of normal way my lips just look like exactly yours with small spots on the upper lip and two big flakes on the bottom one, in a cycle of less than a week, easily come off when the times comes, sometimes like stickers for the two bottom flakes when I smile after they are wet (showers, teeth brushing) given the impression that the skin underneath is so perfect but it turns rough to touch the day after..
After so much waiting I wonder if it would heal one day, I can't understand why it is so long, maybe I would never know.
I do some flakes art with my nail scissors. I have time in my shitty actual life anyway.