The Bride ~ Dirty Projectors

I've been listening to this album a lot lately, very loudly, and I think I can hear the loudness war stuff you guys were talking about. Specifically on the song Two Doves, at one point it gets really loud and sorta all tops out, and gets kind of flat, and sounds like my speakers are gonna pop (when I know they aren't).

Why do they do this, especially when we can just control the volumes with our volume knobs/slides/bars if we want to make it louder?