Nah, it's still written in Japanese. It has nothing to do with the romanisation.
I'll take this down for the time being, as nobody found any official romanisation that says "Horie Yui" yet (we also don't have much time left until ranked). Please use "Yui Horie" instead, unless you could find an official reference of "Horie Yui".
Also
https://images-na.ssl-images-amazon.com ... O5tb0L.jpg this image directly shows the song title and the artist name, so it's best to follow this I think.
If you have any objections, please reply on this thread.