The 16" guns had utility for naval bombardment where the air threat was low. In principle, they still do.
Unfortunately, poltical correctness has limited that utility . . . when we had troops in Lebanon, much was made of the battleships' presence offshore in an artillery support role. Unfortunately, stories at the time indicated that use of the 16" guns was under the control of an army general in Europe, thousands of miles away!
Interservice rivalries played a part in the determination to not use them as effectively as possible, even to the point of ordering deliberate offsets of counter-battery fire in order to minimize enemy casualties.
(One wonders whether or not the fire control officers made occasional mistakes . . . )
Again, these are just things I read in open sources - if anyone reading this has first hand knowledge to the contrary, please educate me.