The Four Tops' "Walk Away Renee"

This morning I listened to a compilation album of the Four Tops (in the 20th Century Masters series).  Over the last year or so, I've come to like their version of "Walk Away Renee" a bit better than the Left Banke's original, but I noticed something new about it.

The lyrics in the chorus are:

Just walk away, Renee
You won't see me follow you back home
The empty sidewalks on my block are not the same
You're not to blame

In the Four Tops' version, the lead singer doesn't sing that second line ("You won't see me follow you back home").  That omission emphasizes the speaker/singer's absence that the line itself mentions.