Whether that's true or not really depends on what type of relationship you're talking about. I have co-workers like that. I have no interest in what they like and vice-versa, but we hate all the same stuff and that gives us something to talk about at work. It may not be the healthiest basis for a relationship, but it's healthier than spending 8 hours a day in awkward silence.
Looking at the title, it seems he's talking about a girlfriend he had, in which case I'd agree it's true. If all you talk about with your SO is things you hate and how you hate them it doesn't exactly promote and pleasant time unless you find bitching about stuff romantic. :P
It worked well enough for the U.S. and Soviet Union back in the '40s…But yeah, the relationship kind of falls apart once the object of hatred is out of the picture.
See the real secret is NIN fandom. Liking the same music about hating the same stuff.