 This sounds like it might support a species of logical nihilism—a view on which there is no correct logic (and in fact Cotnoir (2019 explores that view)—but Cook prefers to think of it as offering two different kinds of pluralism. The first, less controversial, kind holds that which logic is the correct one is relative to one’s goal. If one wants to study vagueness, the correct logic might be one that allows for intermediate truth-values, whereas if one wants to study identity, perhaps first-order classical logic with identity is to be preferred. Since the correct model is relative to your goal, so is the correct logic. 