A non-traditional shock site relies not on sickening those who see it, but on disturbing them via a fast and brutal Mind Screw, but is just different means to the same end: confusion, disgust, and shock.
Deconstructed: These websites tend to be High Octane Nightmare Fuel and Fan Disservice for most people, featuring a lot of illegal content. As a result, site owners find themselves getting prosecuted at an alarming rate, which leads to many of these sites getting shut down.
Reconstructed: The websites begin to operate in countries where shock sites are protected by law, allowing them to continue to provide lulz for Trolls and Squick for everyone else.
Parodied: A picture of a LOLCat is treated as one of these. Alternately, the reactions of those unsuspecting fools who see the site for the first time.
Lampshaded: "WHY THE HELL WOULD ANYONE WASTE THEIR TIME CREATING SOMETHING LIKE THIS?!?!?!"
Averted: The website contains nothing that even the most hardcore Media Watchdog or Moral Guardians would object to, and nothing that even the guy/girl with the weakest stomach would find Squicky.
Enforced: "Hey, you know what would get this website a lot of hits? Brazilian scat porn!"
Plotted A Perfectly Good Waste: The site does contain pictures of old, obese couples having sex, but only because it's either 1) a porn site catering to that particular fetish and/or 2) produced by the couple in said photo.
Wasted A Perfectly Good Plot: A truly terrifying picture is created, full of nightmarish symbolism and complex Fridge Horror, with a deep, engaging creepypasta story behind it. Everyone just uses it as a shock site.