I don't think people are, yet, deliberately creating predictive machines because they see that as the path to intelligence. Things like ChatCPT are LLMs, born out of that (language model) line of research, where the goal has been to learn the rules of language. The fact that a language model, when made large enough, appears somewhat intelligent was an unexpected surprise.
Different species have evolved to have different capabilities. Humans have evolved to be generalists, able to survive in a huge variety of environments, which requires a high degree of adaptability. The key to adaptability is prediction - the ability to very rapidly (in space of minutes/hours/days - not evolutionary timescales) learn how things work in a new environment or in new conditions.
Not all animals need this degree of adaptability, since they have been able to survive and thrive in long-lasting stable environments. Examples might be crocodiles or sharks - very low intelligence, but great at what they do. Evolution is not generally about prediction or intelligence - it's about optimizing each species for their own environment(s).
We already know how to build machines that are more like crocodiles - great at doing one thing over and over, but now we have the capability and desire to also build machines that are generalists like ourselves, and that requires us to figure out a way how to implement intelligence. Given how hard a problem this has been (and continues to be) to solve, it makes sense to look at our brains for inspiration - where does our own intelligence come from, and it's highly notable that the part of our brain that most differentiates humans from other animals - our large neo-cortex - appears to be a prediction machine ... In studying humans no-one is saying that other animals are the same - it's just that humans are the animal who's capabilities we are trying to reproduce.
As I said, LLMs being intelligent was an accidental discovery - they were expected just to be language models, but it's certainly notable that the only thing they are trained to do is predict next word. They only do one thing, predict, and they exhibit unexpected intelligence, hmmm ...
At this point people are NOT yet all saying "prediction is the key to intelligence, so let's build predictive machines and assume they will be intelligent", but when you look at our cortex and look at LLMs, that does appear to be the obvious direction.