This example seems like it could be a category error. Something that is “burnt” has completed the process of burning; it’s inactive, possibly even cool to the touch and depleted of flammable mass. Something that is “wet” actively contains water either in or on it and can be used to make something else wet. Closer to “burnt” would be “dried” as the end state of a process - you wouldn’t say something is “dried” unless it has been wet before.
So in terms of usage, “wet” is more like “burning” or “hot” than “burnt”: has active possession of the property of molecular adhesion.