Kokyu ho is not a technique, it is an element of Aikido present in every single technique.
The kokyu ho illustrated in the video ends with a throw (nage), which is why it is sometimes also called kokyu nage:
But on shomen uchi, for example, using the same form of kokyu ho, we obtain the ikkyo technique. This technique, called ikkyo, could therefore easily be called kokyu ho ikkyo. Obviously, this is a bit cumbersome, so we don't do it; we simply say ikkyo.
In both cases, the kokyu ho form is used at the high level (jodan). But this same form can also be used at the middle level (chudan). This is the case, for example, with the technique called kote gaeshi, which could therefore be called kokyu ho kote gaeshi, which would be even more cumbersome.
In summary, if the technique demonstrated in the video is called kokyu ho rather than kokyu nage, it is because she is particularly significant of kokyu ho, and the name is in this case explicit, instructive, and therefore useful.
This technique is obviously related to irimi nage, but I consider that referring to it with recently invented names such as sokumen irimi nage or naname irimi nage masks the principle of kokyu ho and thus deprives the practitioner of important information. I also think that those who invented these names have no understanding of the complex nature of riai and the fact that irimi nage is not really a technique. Please refer to Kajo (correction) # 3 for more information on this point. Qualifiers such as sokumen (from the side) or naname (at an angle, diagonally) are concerns related to technique and therefore make no sense.
The technique practised at the end of each class, suwari waza kokyu ho, bears this name because it is also very significant in terms of kokyu ho. But nothing would prevent it from being called kokyu nage as well. Let us hope that some hair-splitter will not one day find another name for it, as incongruous as it is superfluous, which will further distance practitioners from the essential aspects of Aikido. Let us remember once again that O Sensei did not give names to techniques; it was his students who did so, for the purely practical purpose of memorising them. Let us not add to the already considerable difficulties of Aikido by inventing unnecessary and arbitrary words.
Reminder: at the moment of throwing with kokyu ho, the feet are square (kenka goshi). Before and after this throwing moment, the feet are in a triangle (hanmi).
