Well, they said after they went on a gluten-free diet, their lips stopped shredding or peeling. With celiac disease, it is common for people to experience different symptoms. Some people experience chapped lips while some people do not. I would not rely on everything your doctor says, especially if he does not treat celiac disease. The doctor I went to treats celiac disease and believes it could be the cause of my peeling lips. Because I have 3 things going on at the same time= viruses, candida, and celiac disease= I am not sure which one is the main cause of my peeling lips.
I am not going to deny people's symptoms like many conventional doctors do.