Not only is it void of hip twist, it lacks any power output whatsoever. General Choi naturally eats it up since the Karate fundamentals have been eradicated. His mission has been accomplished.
My next book should be titled: Sine Wave; the killing of the hip twist. A tale of Karate extinction.
So what was the title of your last book? ;-)
And what's your age and for how long have you been learning Taekwon-Do?
With your inability to discuss topics properly, listen to and understand what others are saying, failure to properly analyze movements in videos - sorry for being rude, but those are things you need to work on - you at least got one Choi Hong Hi's intentions right. His mission was to make Taekwon-Do a purely Korean art and eradicate traces of Karate. And he wanted his Taekwondo-Do to be different from the KTA's (and then later Kukkiwon) Taekwondo. So that everyone could easily distinguish 'both' versions of Taekwondo and point out which one is real and which ones are the 'imitators'.
Eradicating traces of Karate influence has been the same for other branches of Taekwondo though.
And for Choi the sine-wave movements was the last big step after creating an own set of forms, creating and improving an own uniform design, as well as changing the Terminology from Sino-Korean to pure Korean. One step to distinguish Choi's Taekwon-Do from Karate was reducing the hip twist. Excessive hip twist is Karate. According to Choi, Taekwon-Do needs only a minimal hip twist, as he would call it 'jerk'.
Is the hip twist absent in the video of Choi Hong Hi explaining the correct sinewave motion?
Yes!
Is this a perfect demonstration of how to perform techniques or how to move when performing a Teul?
No!
His intention in that short clip is pointing out the basic principles of the sinewave motion, nothing more. What else do you wanna see in this clip? That his punches aren't powerful? That there's no proper focus in his techniques?