I'm sorry, my curiosity doesn't extend to the 22 hour drive or the plane ticket I would need to purchase
You could look for an Aikido or Daito Ryu school near you. They should both be able to allow you to feel similar things. What they are showing in that video is not uncommon.
In order to understand what you are seeing there, you have to first realize that you are not looking at TKD. By that, I mean, they are not trying to throw a realistic attack, or even an effective attack, and then trying to effectively defeat that attack. You are correct, people are probably not ever going to be attacked like that, and if they are, there are plenty of simpler responses that are far more effective at defeating the attacker. But, thats not the point here.
They are working on some principles and ideas, that can be very subtle. As such, they are very hard to practice, and even harder to pass on. So, they created drills with the idea of making things that are small a subtle, big enough to learn and practice.
The attacker is not so much "attacking" the other guy as he is giving the other guy what he needs in order to practice and learn. So, uke (the attacker and receiver of the technique) often makes a "bad" attack. He telegraphs what he is doing, he over commits, and over extends. This way, the guy doing the technique, has the right energy, in a big quantity, so that he can work on the subtle technique.
Lets talk about the jump back at 1:17 that you brought up. Realize that prior to that, the attackers grip was corrected to be in a specific place. This is not an attack, so much as it is a situation to practice and learn. (or demo in this case) If the attacker were to keep his grip, and never let go he would end up in a wrist lock. (z lock... you should recognize it from you Hapkido) Additionally, when the lock starts to come on, the attackers posture would start to be compromised. In this demo, the attacker chooses to disengage and jump back, instead of allowing his posture to break and the lock to be applied. I would prefer to see those things happen, rather than the jump back... in my opinion, that would be better... but its their demo.
The thing they are looking at, is not the attack, not the defense against the attack, not the lock, and not even the push back. They are looking at taking the energy given from the attacker, redirecting it and then using it against him. When the grab happens, the attacker is over reaching, and giving his balance to the guy demonstrating. The guy demonstrating, is keeping that energy going, and using it to further off balance the other guy, and then using it to manipulate the other guy. Most importantly, he is making this big enough, that those being taught can try it out and find the principle. Once people find the principles, they start making them smaller.
Does it work? Well, define work. When I was training MMA, there was a guy their who had done Judo before. For fun, he and I were working on a foot prop throw. You use the gi, to pull the other guy into a forward step, but you use your foot to prevent him from stepping forward. He then makes a nice flip in the air, into a nice pretty fall. One of the MMA guys started to tell us that looks pretty, but would never work. The MMA instructor told me to throw him that way. I took the back of his head, and elbow, pulled him into a forward step, and propped his foot. No fancy flip, no pretty fall. But, he went face and shoulder first, into the mat. (pretty quickly actually) So, did it work? It did not look pretty. It did not produce the nice flip into the pretty fall... so it must not work. It did land him pretty quickly on the ground, with a thump. (he did not appreciate hitting his shoulder that way)... so it worked.
Does this subtle stuff work? In the real world, it probably won't cause the other guy to jump back like a cat, or flip through the air or many times even fall. But, it will take your balance and break your stance. This takes away your power and ability to effectively continue. Sure, you can make another move to recover, but he can also make another move while you make your recovery move. He will have many options, if you look at the openings produced by the off balancing and posture breaking. He is also still in a position to attack effectively, while you are not.
This type of training may not be your cup of tea. But, it should at least be seen for what it is. They are training the small details that most of us skip over. If we could apply these details in what we do already, it will greatly improve what we currently do. What if your block not only blocked the attack, but broke the other guys balance and posture? What if you could determine in which direction? What if you had multiple options, and could choose which way to send him and which way to open him up?
This isn't my favorite demo of this type of stuff. I would rather not see the proactive jump back. But, the part they are studying is still there. Have you ever done a self defense demo in TKD, where you kicked a guy who fell over? Did you really make contact hard enough to knock him down? Were you able to demonstrate your idea, even though the other guy took the fall for you?