I found out about this remix from the discography page of ystk-archive. It immediately stuck with me because the idea of Yasutaka Nakata remixing this song was pretty funny. According to this ask it was listed on the old capsule website but the remix has never been released, or even leaked.
After searching for a while I found further evidence that this song exists. According to this blog post Nakata played it as part of his "FLASH!!!" DJ tour in 2010. Unfortunately searching for footage of this tour hasn't turned up anything.