I had forgotten about this until just now, but there are examples where the connoisseurs actually are on to something that the average viewer/listener is missing. In a class I once took on Russian art, we watched a wordless documentary that was meant help one see the world the way avant-garde artists like Malevich or Kandinskiy did when they were painting. It changed my appreciation of this kind of art considerably -- I would now tend to dispute claims that these sorts of paintings are not representational. (I still have to regard this as a joke, though.)

Also, I genuinely, non-ironically like Russian Primitivism even though it often sort of looks like "my seven-year-old could do that".