I have just been using the Vit c cream for about 2 months (the one that cheilitis fighter used) and can say it did nothing at all. It was quite a good moisturizer and that is about it. I did not pick at lips either and just left them alone and cut away at the edge with a pair of scissors when skin was getting to the stage of peeling.
I am going back to leaving them alone which I have been doing for the last 3 years, this is the only way to heal them. It is a slow process but it's definatley working.