I made a mistake. I typed lower case "liberal" when I should have typed upper case "Liberal."

You're right that a rules-based global order would certainly have some liberal characteristics. What I'm saying is that a rules-based order does not have to be purely ideologically Liberal, as in strictly adhere to the tenets of Liberalism, in order to be a functioning rules-based order. In fact, I think it would be best if the order were ideologically secular, otherwise non-Liberal nations would be left out of the order, significantly reducing its effectiveness.