I've always understood SoaD to be overtly political, with songs like Prison Song, Attack, BYOB, A.D.D., and on and on... I listened to them for a long time because I enjoyed the music, but when I gave more than two seconds to think about the lyrics, I immediately understood them to be political in nature (which I actually enjoyed and appreciated more).

When I want non-political music, I almost avoid lyrics entirely, or listen to old-timey songs about broken hearts and love. I particularly enjoy early jazz guitar like Billy Banks, or The Ink Spots. Or some good EDM like Jaded and Noizu.

There's a bit of politics in so much lyrical music, even if it is less transparent, seemingly nonsensical stuff. I do enjoy a good revelation about some bands, though. Like the amount of veterans my age that listen to Lamb of God but are very enthusiastic about military service and God and country types, or as has been mentioned in the thread already, that whole thing with Rage Against the Machine. I feel like SoaD falls into this category a lot too, with these particular people.

There are certainly moments of social commentary in RHCP songs, but I do enjoy Frusciante's and Flea's musical prowess to a degree that I don't care at all what they're saying at times, and just very much enjoy the tunes.

Edit: After reading replies in here, I oughta mention I'm wrong and political music doesn't actually exist.