This album slays.
I gotta say, the first time I gave it a spin, I felt like it was a bunch of QOTSA b-sides backed by JPJ and Grohl, but it's really cohered over a few more listens. It's pretty obvious that Homme is the mastermind behind most of these songs, but JPJ has brought a lot of his little stylistic quirks (lap steel and piano).
It's not exactly reinventing the wheel, it's just a really fun jam session between some excellent musicians, and on that level it's a much bigger success than any other supergroup in recent memory. I'm sort of surprised by how weird it is. I mean, you have the requisite classic rock jams filled with heavy Zeppelin riffs (the riff that hits at 2:44 into "No One Loves Me & Neither Do I" might be the best Homme has been involved with since Songs for the Deaf) but what keeps bringing me back for more are the strange stylistic inclusions.
I mean, first there's just the unorthodox timing that owes a ton to math rock, though since Homme has gotten more interested in that as his career has progressed, it's no surprise (just look at "Elephants"). But then there's the Western/Morricone vibe in "Reptiles," amongst others (loving the lap steel). Or the weird sleazy lounge singer vibe of "Interlude with Ludes" (which owes quite a debt to Era Vulgaris' "I'm Designer"). The Zeppelin/Doors chug of "Caligulove." But more than anything, the disco-skronk groove of "Gunman" is just totally out of left-field.
It doesn't sound like they care about selling albums. This is musician's music, plain and simple. I don't think this is going to get a lot of positive press, but I'm happy to hear that this will probably be more than a one-off album for the group. I think they could put out a cohesive album once they're finished touring.
EDIT: I will say that it's sort of a shame that the worst tracks come up so early on in the album (I'd argue tracks 2-4), which might have some people write it off before it really heats up. "Mind Eraser, No Chaser" isn't really bad so much as it isn't tonally consistent with the rest of the album. It feels like a QOTSA song with a Foo Fighters chorus. "New Fang" feels like an epic told in half the time. "Dead End Friends" just isn't good, period.