On the contrary, if you still have the peeling cycle which always appears at the end of the day when your lips get in touch with water, there is no improvement at all.
About your inflammation, it would be gone as well, anyway, with any chemicals. I say that regarding my experience in which my inflammation aspect was completely gone, whereas I still had the peeling cycle.
If you give up your cream and that you hold your lips over a water a little bit hot your inflammation would come back. In brief, it's just an illusion, because your skin is completely saturated.