The greatest issue I have with pure measurement crowd is their failure to acknowledge we haven't yet developed a measurement protocol or equipment to replicate the human experience of listening to the reproduction of music through an audio system. ASR posters actually admit to as much when they do post their listening impressions.
Still, I'd say the thing that most bugs me is how often I observe people trying to OBJECTIFY sensory perception. The one thing I observe audiophiles arguing about more than any other on audio forums is the dismissal or discounting of other's perceptions of what they hear when listening to a particular piece of equipment. One person enjoys this certain piece of equipment, other's find the sound quality of that piece less enjoyable or dismiss it entirely. Perhaps they did hear that piece in some other system and didn't enjoy what they heard, but that doesn't take negate the other person's enjoyable experience. First of all, it is nearly inevitable the two systems were entirely different, second, it fails to acknowledge differences in sensory perception. Sensory perception is just that, it is our perception or interpretation of our senses, this is entirely unique and/or subjective.
While I don't take issue with others posting differing perceptions of a particular component, I do have a problem when others dismiss or degrade the other's sensory experience. You often hear this dismissal is the form of calling another a tin ear. The other attack takes the form of stating objective faults with human senses, things like confirmation bias or failing to do double blind tests. Some can't accept others perceive and/or interpret things differently than they do. I see far more tyranny from objectivists posing as subjectivists, they've elected themselves king golden ears.