The argument for battleships is to bombard enemy beaches prior to landing. The possibility of landing troops on an opposed beach like they did at Tarawa or Iwo Jima is virtually zero, so the usefulness of the battleship is virtually zero as well.
Apparently, the brand-new Zumwalt and the remaining DDs of its class are similarly useless, since that's their primary mission. At least the battleships might survive a counter-attack.
Experimental sub-caliber sabot rounds fired from the 16" guns were evaluated prior to the ships returning to mothballs. IIRC, they added nearly 100 miles to the guns' effective range.
The USS New Jersey was pretty effective in Vietnam and Beirut - and it wasn’t bombarding beaches in preparation for amphibious landings in either of those places.
Actually I wondered this. What kind of effective fire support would Marines have when they take a beach? Would the Arleigh Burke’s 6 inch cannon be enough?
Well, there is also the scenario where everyone either spends all their whiz-bang gadgets and/or they’re fried by a bunch of EMP strikes, in which case he who has the most old school stuff would probably prevail.