Re: 1st Kumijo
Isn't the attack jodan gaeshi uchi like the 5th jo suburi? but modified because although Saito sensei steps forward with his back foot, he doesn't actually advance towards his partner?
I thought the term "hayai gaeshi" referred to the movement with your feet whereby you change your stance "on the spot" so that your body remains the same distance away from your opponent. In the clip (although I admit not exact), Saito sensei's rear foot (his right) steps up to his front foot (left) and then proceeds to step back (eventually) with his left so that he is now in migi hanmi but no closer to his opponent.
Done at speed the footwork/body movement would tie in with Cliff's translation as quick turn.