Then War Planners at the time would assume any future large conflict would involve massive use of Nukes, and as such armor would be of little concern.
Strangely ignored in all of this were the Bikini Atoll nuclear tests which demonstrated that armored warships (and especially battleships) were in fact extremely resilient to nuclear weapons.
It is not just armor on hull, segments, hallways, machine rooms, reactor housing. All incorporate some level segmented protection. Absolute protection probably not, withstanding damage, surely. Navy surely learning lessons after Fitgerald, McCain. Incorporating HY100+ steel to hull construction for Flight III+