The economy is human-serving and human-legible because humans naturally create economies. Even in the most fanciful pie-in-the-sky projections of AI, human economies will still continue to exist and function, even if it's in the form of bartering or using side currencies the way US dollars are used in many developing countries today. You can't stop people from exchanging goods and services, and the need for that will exist until the end of time.

What's more likely to happen is that the economy might split. Organizations that have no need for human labor or input are essentially islands unto themselves. The only remaining economic link is the substrate -- the land we all inhabit -- is shared.

I'm not sure how that works out (and indeed, that's the worrying part), but what I do know is that human economies will continue. It's even possible that a split might be a good thing, because right now, our currencies span such vast scales of value that it's almost impossible to reconcile them all. Governments use economic health to both drive and act as a signal for the effectiveness of their policies policies, but what happens if the value created by organizations that only employ a handful of people vastly outstrips everything else? You could lose famines, plagues and homelessness in the noise, because the people economy no longer matters. And it's arguable that this is already happening in many countries, which is why so many voters feel like they're not actually being represented, i.e. they're not, because they already don't matter.