if you think about it that reductively, of course, water is wet. it's like the time old adage "if you cut a tree down where nobody could hear it did it ever happen?" of course it happened, but that's not the point.
the "water isn't wet/is wet" argument can be made for literally the entirety that man is alive because language is subjective. for example...
there's this definition of "wet."
wet
/wet/
adjective
adjective:
wet; comparative adjective:
wetter; superlative adjective:
wettest
- covered or saturated with water or another liquid.
"she followed, slipping on the wet rock"
and this one.
noun
noun:
wet
- 1.
liquid that makes something damp.
"I could feel the wet of his tears"
synonyms: wetness, damp, moisture, moistness, sogginess;
wateriness
"the wet of his tears"
If you want to really answer this question, we need to clear up the definition of the word "wet."
if it's the condition of a liquid sticking to a solid surface, such as water wetting our skin, then we cannot say that water is wet by itself, because it takes a liquid AND a solid to define the term "wet."
however,
If we define "wet" as a sensation that we get when a liquid comes in contact with us, then yes, water is wet to us.