Compare and Contrast: Black Eyed Peas vs. Flight of the Conchords

I heard the new BEP single and immediately thought of one of my favy FOTC songs. Now I'm confused as to whether FOTC's satire is just so advanced they're able to mock things that have yet to be released (since their song predates the BEP song by several years) or if BEP is so self-aware that they are making a dollar. I'd be less suspicious if FOTC hadn't already taken aim at BEP (see Case #2).

Case #1:

BEP: "Boom Boom Pow" (2009)

FOTC: "She's So Hot, Boom" (at latest 2005) (notice how this video is also very much like the BEP's "Hey Mama")

Case #2:

BEP: "My Humps" (2005)

FOTC: "Sugalumps" (2008)