Well, my bigger problems were Psoriasis and fungal infections in the groin and navel along with rashes on my legs. My lips peeling is minor and just part of the psoriasis.
After the first flush I saw a slowing of the scaling and smoothing of the psoriasis. I also saw some signs that the infections were clearing. Any cracks on my lips healed.
This is all encouraging, because I used no topical treatments. It suggests that these issues are systemic, rather than localized.