Not sure. :)
That is an interesting Koan. I like the way you explain it.
Also you must realize that there are more than only the Shakyamuni Buddha (Siddhartha Gautama.) There is the Maitreya Buddha and the Amida Buddha as well.
Buddhism is a religion based in many races. It can only be comprehended by a few Avatars. But it appears those Avatars can expound what it is saying. Every person who has Buddhism can join. There are a lot of people.
Every person who has Shinto is a Kami. They are all under a Kami. They all know how to talk to them. You can gain things from them. Each person can know how to talk to them. They all have unique attributes. Susanoo, Amaterasu, Tsukyomi, Izanami, and Izanagi are all well known Kami. Others are...