This doesn't link to the original Science article, so it's hard to comment on what this other "language" might be. Could be talking about garden variety epigenetics, for all I can tell.
"Suggestions of design," however, I suspect to be in the eye of the beholder. Creationists make the same claim for just about every new and not yet understood biological discovery.
Now about this "information in DNA" meme. This is a favorite creationist talking point, and it's a fundamental misunderstanding.
DNA doesn't 'store information' in the sense intended. it's a template, a pattern that ribosomes can zip along and poop out proteins to construct functional structures.