I'm firmly on the side of "water is not wet" in this debate, but it's a question that I was asked while I was high and have no answer to it. Water cannot itself be wet because you can't get water on water. However, what is a fish in a lake? It can't be wet until it's taken out of the water, but it's not dry either. Is it something else?
So, just to understand your position - is a soaked sponge not wet?
I think a fish in water is still wet (i.e. in contact with some amount of water) but that's superseded by the fact that it's immersed in water, and thus not a very meaningful attribute.