L.A. Noire Needed One More Case

L.A. Noire is a pretty fantastic game, but could its story have benefited from one more case? If you don't ask, you never find out.
Featured Music, all from L.A. Noire:
Noire Clarinet
Arson - Redemption (Part 2)
Black Caesar Drive - Unofficial Name -
A Driving Thought - Unofficial Name -
J.J.
Homicide - Use and Abuse (Part 4)
Slow Brood
Arson - Redemption (Part 1)
Investigation Theme #1 - Unofficial Name -
Arson - Redemption (Part 3)
Menu Theme
L.A. Noire is published by Rockstar Games, and is available on PS3, Xbox 360, and PC.