There are three types of offensive writing.
One: So silly and exaggerated that it's clear the authors aren't being serious. Usually the intent isn't even to offend.
Two: Dealing with real world problems in a mock-tone, usually reserved for political commentary. The key to this one is to not target very specific groups/people, but to make fun of the masses. This version is insensitive, but the authors themselves do it in a well-thought-out manner that not only shocks and humors you, but also delivers a message beyond hatred.
Three: Edgy offensive writing; usually the authors who advertise their work solely based on how "insensitive" it is. Instead of delivering a message or coming up with something clever, this kind of writing relies solely on just being as gross and lazy as it can be. The attempt at shock value can't even be shocking once the same joke has been repeated thousands of times. The characters are 2D, all of them are caricatures of the most black and white stereotypes known to mankind. This kind of writing always shows favorites through lenses that can only see 100% right and 100% wrong, using whatever group of people they argue against as soulless punching bags without any redeeming qualities. It's lazy, and incredibly boring.
One is playful and unserious.
Two is definitely the best version of this category of writing, though it's also incredibly hard to execute.
Three is a complete garbage fire.
