A Japanese version of the song would mean she sang it in Japanese. She didn't record another version of the song, did she? That's just the Japanese translation of the title, isn't it?
As far as I'm aware, Hayley has only recorded an English version. I think the confusion has arisen because CD Japan show the title in Japanese as it is a "Japan only" bonus track. Strangely though, the title appears in English on the actual CD artwork!