Yes—and it's a textbook example. A perceptual region (or vernacular region) isn't defined by government boundaries or statistical data, but by shared mental maps: "I know it when I see it."
New Orleans triggers an instant, globally recognized cluster of associations:
These perceptions extend beyond Orleans Parish. People speak of "New Orleans culture" in Lafayette, Bay St. Louis, even Houston's Fifth Ward. The perceptual region bleeds across parish and state lines because culture doesn't respect administrative borders.
Geographers contrast this with formal regions (defined by uniform traits like climate zones) and functional regions (organized around a node like a metro area). New Orleans is all three—but its perceptual identity is the strongest and most globally recognized.