That’s assuming they have that goal. The goal of survival and reproduction exists because of natural selection (those that don’t have that goal simply don’t make it into the next generation, when competing against those that do).
But that doesn’t necessarily apply to AI systems. At least while humans have a say in which systems survive and get developed further, and which ones get scrapped. When humans control the resources, the best way to get a sizable allocation of them is by being useful to humans (or at least making them believe that).