Well, I would think that the gun barrel is continuously stabilized as: 1) That's how tank guns work 2) To enable manual single shot capability, the barrel must

Well, I would think that the gun barrel is continuously stabilized as: 1) That's how tank guns work 2) To enable manual single shot capability, the barrel must always be correctly oriented (as much as possible), since a computer cannot predict when the operator will actually say fire 3) Many naval guns have quite high rates of fire. Even outside of low caliber close in defense weapons (like the Phalanx), even larger weapons (~76mm) can fire more than once a second. At these rates of fire, you're basically continuously stabilizing anyways.