I'm down with both of those being tai-otoshi. Notice how (like Chuck points out) nage's body drops their weight and this is what effects the throw *over their leg not over the hips/back*. In the video of Nishio sensei, you can clearly see that the majority of his weight in on his left leg, not the one blocking the path of his nage and his weight drops as he bends first the left knee and then (potentially) the right knee. In the OP's video, nage has their weigh on the right leg and projects uke away (the movement is horizontal).
I like what I've seen of Nishio sensei. Always bummed I never got to feel his waza.