Walter Reed Lyrics

Lyric discussion by Isabella_de_Reims 

Cover art for Walter Reed lyrics by Michael Penn

I think you're right but it seems like there's another level to it too. According to Wikipedia, Grauman's Chinese is "a world-famous movie theatre located at 6925 Hollywood Boulevard in Hollywood, Los Angeles, California." It also says, "The song 'Walter Reed' from the album Mr. Hollywood Jr., 1947 by Michael Penn contains the lyrics, 'I've had my fill of palm trees and lighting up Grauman's Chinese. Tell me now what more do you need, take me to Walter Reed tonight' The contrast presented by these lines suggests that the song title refers not to the Walter Reed Army Medical Center, but instead to the Walter Reade Theater in New York City."

From this it seems like it's about someone leaving LA for NYC and comparing it to giving up the battle, with the pun on Walter Reed.