Many scholars and policymakers in the United States accept the narrative that China is a revisionist state challenging the U.S.-dominated international liberal order. The narrative assumes that there is a singular liberal order and that it is obvious what constitutes a challenge to it. The concepts of order and challenge are, however, poorly operationalized. There are at least four plausible operationalizations of order, three of which are explicitly or implicitly embodied in the dominant narrative. These tend to assume, ahistorically, that U.S. interests and the content of the liberal order are almost identical. The fourth operationalization views order as an emergent property of the interaction of multiple state, substate, nonstate, and international actors. As a result, there are at least eight “issue-specific orders” (e.g., military, trade, information, and political development). Some of these China accepts; some it rejects; and some it is willing to live with. Given these multiple orders and varying levels of challenge, the narrative of a U.S.-dominated liberal international order being challenged by a revisionist China makes little conceptual or empirical sense. The findings point to the need to develop more generalizable ways of observing orders and compliance.