Anime comedies, are absolutely willing to get self-referential, in some cases going full parody. Now, you can get a bad parody by shoving random jokes and references into the work because they can (the Seltzer & Friedberg films), or come from a place where you actively hate and dislike the genre they are satirizing, and in turn can end up creating works which are poor examples of that genre.
By comparison, the best parodies are those which are also good examples of the work in question, and such is the case with Ouran High School Host Club. Continue reading