No there were no Jo Kata as such with either Nakazono Sensei or Noro Sensei just as you say various techniques were applied by the Jo..........
Re: the video of Nakazono Sensei.
I was not sure of the techniques name, I sent an email to Jei Nakazono who is Sensei's second son with whom I am in regular contact. Here is his reply to your question.
That koshinage did not have an aikido name. Like you said, it was a judo application in aikido move.
The last one is what became the sumiotoshi in today's aikido, but then (1960s') it had no name.
As I said in an earlier post somewhere ? In the early days there were few names if any to the techniques.
I never remember Kenshiro Abbe using any technique names, simply taught by indication and the word ``necessary this `` ~ `` necessary that `` and a whack with the shinai to help with the language problem.