I agree with Dusty; that guy in the video is aggressive and dominating, I will give him that, but both my sabomnim and I thought he looked more like a brawler than a TKD fighter. His technique didn't seem too strong. Notice how often he is very forward on his feet; not in a very balanced position, which means he is both off balance for a counter strike or counter movement, but also not able to get his full body weight/motion into his own strikes*. He just overwhelms his opponents with aggresiveness and fast flurries of attacks. Ironically, if he was in a real street fight against an angry aggressor, not against a sparring opponent, he would probably get in trouble against someone equally as aggressive who just came in throwing fists and pushing back.
As far as "Traditional TKD" school, well, it depends more on the instructor than the organization.
Real question is, what do you want to do? Learn TKD for self-defense in a street fight? Learn it as a physical artistic expression? Learn to spar? What you intend to do with your knowledge and skill will influence what you want in a school, which will shape your questions to those organizations
*At least in how I'm trained, balance and control are at the basis of every other technique. If you start out in a stable position, then you can get full body weight and motion into a strike. Punches and kicks get a lot of power from hip motion and foot movement, which requires a good point of stability to get full power. Also, comeing out of an attack in a position of balance is important so that you are ready for your next attack or in a good position to deal with a counter attack. This is probably even more crucial in a street/bar fight where an opponent can grab you and throw you down if you get off balance.
