I was in the Navy during Desert Shield/Storm. Whenever the battle group transited the Straits of Hormuz there would be a BB right next to the CV, between the threat (Iranian Silkworm sites) and the carrier. The battleship with its incredible armor plating could absorb a hit far better than the thin-skinned carrier.
As we went through the straits the battleship's guns were kept constantly trained on the missile sites and the carrier had F-18's sitting on the catapults loaded for air-ground. There was a lot of speculation as to which would put ordnance on target first if the threat radar started lighting us up - would the battleship's salvos get done bracketing and fire for effect before the Hornets got there?
Never found out.