Naval power was not “supporting” in WWII—it was an enabling condition for the kind of industrial, coalition war that the Allies fought. If you zoom out from battles to systems, oceans were the supply lines of empires.
Atlantic: Britain lives or dies by imports. The Battle of the Atlantic was a campaign to strangle national endurance. If Germany had broken convoy protection and escort production, you don’t get sustained British resistance, and you almost certainly don’t get an Overlord on schedule (or at all). The outcome wasn’t just “U-boats failed,” it was a contest of doctrine + industry: convoying, ASDIC/sonar, HF/DF, escort carriers, long-range patrol aircraft, and codebreaking.
Pacific: naval power was the war. Japan’s strategy depended on a defensive maritime perimeter and the ability to move resources and forces by sea. Carrier aviation turned sea control into mobile airfields. Island-hopping is basically operational maneuver across water, with amphibious logistics as the limiting factor.
Classical writers like Thucydides already understood that control of sea communications shapes the strategic economy of war. WWII is that principle at industrial scale. Sources worth reading: Samuel Eliot Morison’s naval history series, Clay Blair on U-boats, and Richard Overy for the broader war economy context.