I'm finding it difficult to believe this. For me, your comment is accurate (and very insightful) except even a mostly vanilla continuation of the neoliberal capitalist system seems possible. I think we're literally talking about a "singularity" where by definition our fate is not dependent on our actions, and of something we don't have the full capacity to understand, and next to no capacity to influence. It needs tremendous amount of evidence to claim anything in such an indeterminate system. Maybe 100 rich people will own all the AI and the rest will be fixing bullshit that AI doesn't even bother fixing like roads, rusty farms etc, similar to Kurt Vonnegut's first novel "Player Piano". Not that the world described in that novel is particularly neoliberal capitalist (I suppose it's a bit more "socialistic" (whatever it means)) than that, but I don't think such a future can be ruled out.
My bias is that, of course, it's going to be a bleak future. Because when humanity loses all control, it seems unlikely to me a system that protects the interests of individual or collective humans will take place. So whether it's extinction, cyberpunk, techno-socialism, techno-capitalist libertarian anarchy, neoclassical capitalism... whatever it is, it will be something that'll protect the interest of something inhuman, so much more so than the current system. It goes without saying, I'm an extreme AI pessimist: just making my biases clear. AGI -- while it's unclear if it's technically feasible -- will be the death of humanity as we know it now, but perhaps something else humanity-like, something worse and more painful will follow.