Doing It for the Art: Their entire ethos. They broke up mostly because they were afraid that this would be uncontrollably subverted.
Executive Meddling: Epic Records attempted to push back the date of NO LOVE DEEP WEB's release to some time in 2013, when the Alternate Reality Game they'd been running had hyped the original release date of October 23rd for quite some time. Death Grips responded by immediately leaking the album, with a photograph of a penis as the cover.
Mean Character, Nice Actor: On stage/record, MC Ride is a gangbanger who has major mental and anger issues. Offstage, Stefan Burnett is a soft-spoken, mild-mannered man who likes to paint. The same can be said for Zach and Andy.
One of Us: The band is very knowledgeable, and at times downright obsessed, with the seedier, weirder side of the internet, and maintain lots of contact with their fans via Image Boards. MC Ride namedrops 4chan's /mu/ board in the song "Fuck That", and their second album NO LOVE DEEP WEB was given a Alternate Reality Game based around both /mu/ and the Tor-based so-called "deep web", run entirely by the band members themselves. They even responded to a fan's question asking if they would accept Bitcoin as a payment method for their album. They said yes.
Trolling Creator: So very much. As but one example, the letters of the songs on Fashion Week spell out Jenny Death When, referring to the fact that the release date for Jenny Death had yet to be announced at the time of Fashion Week's release. (The phrase was a popular question on Image Boards and elsewhere, making it a bit of an Ascended Meme).
X Meets Y: Some have taken to calling their particular style "Noise Rap".