Of course the lettering in Japan is not set in faux-asian typesetting since you already have real-asian typesetting everywhere else. Latin typesetting is mostly added to add a sense of occident stereotypes (to the point where the latin writing makes little to no sense, similarly how Superdry's Japanese slogan makes no sense to Japanese speakers), writing it in a brush stroke would defeat the purpose of such styling.
This is also why you don't see fake-cyrillic writing in any country using cyrillic because it is just odd and meaningless to readers to these scripts.