Speak for yourself tergot, from what I have read on this forum there are a lot of people who would be happy with just a treatment for it and not necessarily a cure. Putting cream on your lips a couple of times a day is no great hardship. There are plenty of sufferers who haven't found their 'aveeno' or in your case 'coconut oil', something which helps treat it to a manageable level.
If you want to flat out cure the condition instead of just treat it then that's your perogative tergot, and good luck to you. But I know what I'd rather do...