Wait. Those videos were your evidence of valid self defense techniques?!?! <boggle> Those videos were (let me emphasize this properly)
COMPLETELY AND IDIOTICALLY USELESS. Even attempting most of those techniques demonstrated for self defense would, if you were lucky, "merely" fail dramatically. If you were unlucky, they'd get you horribly injured (or just dead). At best, they were laughable. The funniest part was the self defense against a Rear Naked (Hadaka Jime) choke hold by someone who hadn't even seen it demonstrated on "Big Time Wrestling," never mind actually had even one second training on how it is performed.
In summary, if those videos are "proof" that valid self defense is taught in Tae Kwon Do and/or "Karate" then I would be forced to conclude that self defense isn't actually taught, at least not by people who've ever been in even a primary school fight.