It really isn't that hard.
SOAD have said in the past they don't want to explain the meaning of their songs and they would rather have their fans install their own meaning behind them. Unless its extremely explicit i could easily pull a number of quadra values from any given song, even ones they didn't intend. Who is to say Lost in Hollywood (the song you were talking about) has anything to do with Ne polr (not a quadra value but it's the same idea)? I could pull more than just Ne polr from that song and just because I can pull Ne polr doesn't make it Beta-Gamma.
After everything you've thrown into this thread, it's weird you're hung up over one objection.