I'd use both carbon dosing and a refugium if one alone at reasonable levels was not meeting the nutrient reduction needs. That may be easier than expanding either one alone, and they have some offsetting effects (e.g., O2 addition vs O2 consumption, pH raise vs pH lower).
But both have potential drawbacks as well (as do all nutrient reduction methods), including trace element consumption, boosting of things like cyano that may thrive on organics added or released from the macroalgae, and changes to the tank microbiome.
They also each have somewhat different benefits aside from nutrient consumption, such as bacteria from organic addition boosting filter feeders, the refugium can house pods and other microorganisms that make their way tot eh display, algae from it can be used to feed fish, etc.
Everyone has to decide for themselves what makes most sense in their system. Some folks use neither and think the cons outweigh the pros, which is not easily disproven.