Does porgyria suffers from rarest skin disease?

Progeria. There are a variety of diseases, all genetic and uncommon, in which the person's skin has some features of an older person's from the time of birth. None is true mimic of fast aging. No one knows what the rarest skin disease is, because we discover new ones monthly and the rarest is surely undiscovered. But if you have progeria, it's a challenge and you have my sympathy.