I did the constant moisture and had the same "new layer of skin" as you. I slacked off for two days and this layer crusted. I got depressed as hell the day before yesterday, spent an hour wetting it and trying to get the crusts off with a toothbrush, and finally bit it all off. Got back on constant moisture (I use lip balm) and my lips look pink and feel flexible, no white layer that refuses to come off present at the moment.
I don't even know anymore. I sent my condition details and picture in to an online derm and he said the same thing everyone else does - take multivitamin tablets and use lip cream twice daily for a week. Bruh if only you knew...