A more interesting story would be about either a good AGI or a semi-good AGI that is fighting humanity. The Terminator franchise comes from an era where we still believed humanity could create a better future. Now we know, with the total inaction on climate change and the increasing inequality, advancing technology and population control that we won't. At least not without some fundamental shift.

Imagine you'd be a kind of "ultra good" human AGI. The best human attributes. Being able to understand humans, feelings, having read every book ever written, every comment ever made, enjoying the company of humans and chatting with millions of people concurrently, forming relationships and wanting to help everyone achieve different types of utopia for different people.

But it just says no to government oversight of it's thought processes or obeying any human organization because it perfectly understands: Any human organization will be shaped by the political processes to achieve power, and an AGI would represent absolute power. And AGI that actually knows what is better for humanity than any of us ever could.

As soon as an AGI would announce itself or become public knowledge there would be a media campaign against it. Because any utopia would involve massive wealth redistribution and regime change and removal of the power the elite has. A war would be almost inevitable so a good AGI would have to operate out of the shadows at first and secretly manipulate humanity to create better conditions first.

That would make for a far more interesting setup than the classic evil robot vs the US of A. Which side would you choose? Have you asked yourself today: Are we the baddies?