Memorial Adress (take 2 version) a cover song?

[denadel]

I have been a fan of Ayu's music for a long time and used to collect everything i could find.
I have had remixes and other stuff i never knew anything about, not even if they were official.

I also have a song by Lover's sound track called "kumo". It sounds almost the same as Ayu's memorial adress (take 2 version).

I tried googling lover's sound track and the song title (kumo / 蜘蛛) but can't find any info. Does anyone know something about this?