Actually, to suggest that information, DNA or otherwise, can be shared apart from intelligence and design is ludicrous.
It's only information in a material sense. Dinosaurs and every other species do not have intelligence and do not have any understanding of DNA. Yet the DNA does its job, as does the spleen, heart, kidney, liver, etc. Since intelligence is not needed for DNA to function, DNA is not really information in the way we perceive interpersonal communicable information.