Posted this in answer to this question on AJ, too:
I've never heard of much of what is claimed on that page. Nishio trained with Konishi, though (
http://aikidojournal.com/article.php?articleID=524 and
http://aikidojournal.com/article.php?articleID=397). But this is the first I've heard of Osensei meeting him.
In Harry Cook's Karate -A Precise History, there's an end note with Inoue Noriaki, Osensei's cousin, going on about triangles, circles, and squares. Cook laconically dismisses it as nonsense. It seems, however, to have gotten a warmer reception from Egami Shigeru, who ran the Shotokai offshoot of JKA and eventually turned it into Shintaido (or maybe one of his students did, I forget). So there is some connection to the family and Omoto teachings, if not precisely aikido. See
http://www.shotokai.com/ingles/essays/aokieng.html and the usual search engines.
Hope this helps.