If I read you correctly, you seem to be saying that kokyu is a combination of timing, breath and jin is that correct?
Sure, but the core is the jin. Or the "ki", if you want to be vague about it. What Tohei showed in his Ki Tests. But I've already said that a couple of times in this thread.
Do you think a kokyunage is a kokyunage if it doesn't have the type of power shown in Tohei's "ki tests"?
That should simplify it for you so you can answer with a yes or no.