I don't think so, if you listen to the story, it mentions the family tradition, which consists of a gathering of the whole family after work to talk about real horror stories. The tradition in this game is mentioned in the story and the Muki is not the tradition but it is part of it.
I love the story of this game, congrats to your writer! I found some bugs in the game but I still like it tho,it's pretty fun and interesting,good job guys :).
