Written descriptions are a funny thing... To me it was clear!
OK. We have four votes for kokyu nage, including my own.
Does anyone else have an alternate name for this technique?
Funny enough, from your description, I was envisioning a tenshi nage, but if we are indeed going with the video, I defer to Jason with the ryo kata tori kokyu nage. Although, according to my understanding of kokyu nage, any throw that can not end in a pin, ie the uke is thrown away from the nage instead of kept close, is a kokyu nage. We do several 'named' techniques that are still kokyu nages, but have their own specific names, like tenshi nage and ago tsuki age.