In this paper, we argue that the existing paradigm of democracy driving scholarship about its relationship to AI highlights the wrong questions. The essay describes this broad paradigm—which emphasizes the benefits of deliberation and sortition—and explains why it is insufficient for understanding or acting in a healthy democracy. We argue that we should instead focus on enduring democratic publics and how they shape collective behavior. That would raise very different questions. How might AI reshape these publics and the feedback loops that they depend on? Will this contribute to democratic stability or undermine it? Such questions would underpin a broader and different research agenda on AI and democracy than the one we have today.