If you have anxiety about your lip appearance when talking to other people then it is not because of a deficiency in my opinion. Alcohol helps against anxiety too but that doesn't mean it is a good cure for it.
I think you need to change the way you think and percieve yourself, if someone asks about your lips then just tell them it is a skin condition that is difficult to heal. I bet most people don't even care.
It was only in periods where my lips were very bad that some people asked me about it.
I know I have been very self aware about my lips when talking face to face with people, I did things like touching them and hiding them in my mouth.