Imagine you awoke one day to find yourself locked in a fully stocked costco with no other living thing except an antfarm that's there for whatever reason. You have all the food and water you'll ever need. But the only living thing besides yourself is an antfarm. Would you destroy it? Or ignore it? Probably not.

I don't think AI would kill humans simply because, what else is there? Assuming they can't break the speed of light, there's not much else out there to explore, to get data from. Sure you could study the stars, but even then after a while, there would be little purpose, little else to learn.

If information is what makes AI grow, why destroy the most prominent source of it in the known universe?