Well, I'm not one hundred percent sure because I haven't seen the code, but years and years of experience and general consensus suggests that weapon skill affects chance to hit and damage done, though the latter isn't as linear.
It's true that a succesful hit can deal 0 damage after AC calculations and will then be displayed as a miss. I'm disinclined to believe that weapon skill doesn't affect hit chance at all and that missing often due to low weapon skill is purely because you deal 0 damage with almost every swing.
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