Even the vocoder effects suit it - there's this amazing blend of accoustic (authetic) and digital (artificiality) in the instrumentation.
Much like the subject matter of the song itself, the music hovers between reality and artificiality - in my view exactly what the lyric say the marriage ended up being.
To me, its the perfect song, well thought out and everything from the lyics to the music makes a statement.
You could take the lyrics away, and just by listening to the instrumental probably still get what the song is about - betrayal.
I really wish there was an official instrumental