Well correct me if I'm wrong but I thought that "Reckless Life", "Nice Boys", and "Move To The City" were GN'R originals.
"Nice Boys" was a cover song, originally recorded by a band called Rose Tattoo, or New Tattoo, or something.
Only two of the four, "Reckless Life" and "Move to the City", were GNR originals. And they probably didn't want to include those two on AFD since they had other songs they'd written that fit the album better.