LOL THAT'S KIND OF A COMMENT ON JAPANESE RELIGION ET AL. Most temples and shrines want to lay claim to some form of religious or magical artifact, what have you, and it can get to be a huge deal. There are debates all the time over who has which piece of Kukai's cloak or Saicho's scroll and so on and so on; undoubtedly most of them have no actual basis in reality, fff.
There's really quite a lot of disconnect between the origins of Buddhism in Japan as relying on innate cultural beliefs in the otherworldly and modern day Japan's profound skepticism.

Supposedly my teacher once asked a monk if the sacred object's history in the temple was accurate, and he just gave her this dour look and said, "I don't think that's what's important." Aka, no you bitch it isn't but we don't care so stop spreading your foreign doubt.