Greeting gentlemen,
From what I can tell, the whole video clip is pure "classic" KSW. The basics, KI exercises, self defense, flips, kicks, sword, dan bong and empty hand forms. The only variation/additions are the (cleaner) acrobatic kicks, and flips.
As for the sword forms, the first one is NOT the basic Jang Gum Hyung (most commonly seen). The second one is the more familiar Yuk Gum Hyung. Now, there is a possibility that GM Seo may have modified or added another form, as GM Kim did with Han Mu Do. .......BUT, knowing GM Seo as I do, he is very old school and traditional, and I have a hard time seeing him changing any one of the forms or technique sets. With his extensive knowledge, he would certainly be someone who would know and teach more of the advanced techniques and forms.
Many martial art systems have more than one level of weapon sets. I know this is the case with Hwa Rang Do, Do Hap Sool and Sun Moo Do. Our system - Modern Farang Mu Sul® certainly does. The form on the tape is very nice. Very classical, but that is a hallmark of KSW.
The sword handling, cuts, thrusts, parries and transitions and the application of offensive vs defensive strategies is what I would be looking for, as far as rating this form. One of the greatest aspects of all our training is learning the (practical) applications of our training. I would think the person best suited to explain the applications as well as the purpose of the fundamentals, would be the person who created it. We are only left to interpret it.
As I said, it looks like a nice form.
With brotherhood,
Grand Master De Alba