No one authentically hates the word moist. There's no evidence then anyone disliked the word before Friends made an episode about it. Everyone since that has either been parroting that episode or someone who, in turn, parroted the episode.
Either these people saw it and decided it was an interesting facet to add to their personality, or it was the first time they've ever consciously thought about how a word feels and sounds and that shattered their ignorance and spoiled a perfectly good word.
I don't remember a friends episode about this either. I do remember it being on how I met your mother though so possibly the person you're replying to was thinking of that.
Personally I dislike squelch, mulch, ask, just a ton of words, but I dislike them because they way they fell in my mouth. Either they're hard to pronounce or they don't feel nice in my mouth.