You'll notice also in the video that he has introduces his students to counters to attacks, both armed and unarmed. Particularly interesting is if someone tries to stop your attack by grabbing the wrist. It's very aikido-like.
The only analogy to this in modern kendo is waki-no-kamae. That is where the sword is placed almost behind your body in order to "mask" your distance and hide the length of your sword.
(No, I don't know who he is. I just found a photo of someone demonstrating waki-no-kamae.)