"I think we've actually escaped a lot of it, because I've seen what happened to Brad and Jen and Nick and Jessica," Crow told The Associated Press in a recent interview.
Crow said celebrity magazines are more interested in seeing a couple break up than reporting on them being happy together. The 43-year-old singer and Armstrong, 34, announced their engagement in September.
"When we were rumored to have split, and when our publicists called these magazines to say we haven't split, the magazines were all so disappointed because that's really what's selling, rooting for a couple and then they split," she said. "That's what sells the magazines."
And Crow says it's not just tabloids that perpetuate the negative vibe.
"There's so much harshness in the world now, there are so many hard edges," she complained. "I cannot pick up a magazine or really even for that matter a newspaper without some kind of nasty editorial comment that just offends me. Why can't we just report things the way they are or see things for the good in them? ... It's an insidious energy."
Although Crow was by Armstrong's side to cheer him on during his last two wins on the Tour de France and she credits him for inspiring her latest album, "Wildflower," Crow says she tries to keep her relationship with him as private as possible.
"Our life is somewhat out there, but we protect it pretty heavily."