I object to this premise.
Trivial counterexample: Is it impossible to evaluate the quality of a novelist because we don't have a common understanding of the plot of a novel until after I've read it? Clearly not.
Even in a post-modernist literary paper you can still judge the writer's cohesiveness of thought and clarity of argument.
Edit:
>The correctness of the content is subjective. If the correctness of the content is objective, and mutually understood, then any confusion added during the writing is bad writing.
I also don't understand how post-modernism comes into it. Is talking about the theme of insanity in Hamlet any more objective/correct than writing about the influence of race in Moby-Dick? If so, how?