>our DNA has been shaped by nature, not stories. Interesting point, I believe the opposite. Or, let's say, that stories have much more impact that DNA on our behaviour/thinking models.

Religion, money, appartenance to a tribe outside of immediate family, all of that are stories that we adhere to. Hell, look at kamikazes : a group of people willingly destroying themselves (and therefore, their DNA) for the perceived well-being of a larger imaginary group, "their countrymen".

No, I believe animals can and do predict their environment, but we differ because we can adhere to a layer of information that is on top of what we can observe : call it collective subconscious or myths, but this is information that helps us do more.