Final answer:
J.D. Salinger is the writer among the options who is not typically regarded as a postmodern writer by scholars and critics, compared to Don DeLillo, who is recognized for his postmodern literature.
Step-by-step explanation:
The writer who is not considered to be a postmodern writer by many scholars and critics among the options provided is J.D. Salinger. Don DeLillo, mentioned in the question, is acknowledged as a postmodern novelist by many scholars. His deleterious work in novels like Underworld and White Noise represents the absurdities and complexities of twentieth-century American experiences, which are hallmarks of postmodern literature.
DeLillo's engagement with postmodern themes aligns him with other writers who explore the disorienting effects of media-saturated, consumerist societies, as well as the playful and experimental use of narrative forms. Unlike DeLillo, J.D. Salinger's work, most notably The Catcher in the Rye, does not typically explore postmodernist themes or employ postmodern stylistic techniques and is often categorized within a different literary movement.