Jameson says parody relies on idiosyncratic style. The style is an inimitable way of moving through the world defined by a period of history, and parody can emerge only from such historical authenticity.
Modernism has dispensed with the characteristics of history via universalist flattening, thus robbing a parody of a barbed, driven imitation, leaving it as a blind, toothless mask.
Parody today is merely pastiche—dumb style with no content: “a statue with blind eyeballs”