@Summer Ha well this post came as a surprise to me honestly, I don't check my subscriptions usually, so I had no idea this was here. Nice little present I gotta say.
Anyway sure, I don't see anything wrong with working that way, besides it could lead to something more like grudges if we run into the same monsters again. Now after reading that I had a thought, Kyou is essentially the expert on Japanese mythos, or he at least knows things.
Erika on the other hand is going to be largely ignorant, but she'll make up in her knowledge of Western monsters, which I think could be around. Its not like the world is isolated anymore, something could easily hide on a freighter ship to end up in Japan.