Actually a battleship would still be an effective weapon for combat support. There is not one antiship missile that can penetrate the bridge armor, much less the hull. The 16” guns have very excellent accuracy and with enhanced munitions can hit targets 50 miles away. It requires far less escort support than the big targets called carriers. To the Navy the less support factor is important. It means fewer admiral slots than a carrier group requires.
With later ultraquiet conventional subs now deployed by many countries those big targets are far more at risk than the Navy wants to admit. Those things are QUIET. And with the superfast torpedoes and minitiarized nuke warheads life could get very interesting for carriers very quickly
“There is not one antiship missile that can penetrate the bridge armor, much less the hull. “
I know you might have read that on the Internet, but even a TOW missile can penetrate an Iowa class battleships armor, all of its armor.