The Alabama was commissioned in 1942. The term "Dreadnaught" had longsince been dropped, being superseded by the term "Battleship".
Yes and no. “Battleship” as a term predated HMS Dreadnought. All-big-gun battleships patterned after Dreadnought were then called “dreadnought battleships”. However, dreadnoughts were quickly superseded by ‘superdreadnought battleships’ - *very* quickly indeed as within six years of Dreadnought entering service, superdreadnoughts were under construction.
The First World War showed that the all-big-gun idea of Dreadnought was great, but the thick above the waterline armor optimized for close range slugging matches turned out to be a problem in a combat environment that included plunging vertical fire at extended ranges. There was also no significant torpedo protection on many of the SDs. There was also the silliness of what to call the successor types, built from the lessons of the superdreadnought battleships. Ultramegahyperdreadnought battleships?
Basically at that point, some just went back to the old “battleship” moniker to separate them from the post-1918 old-think reputation of the superdreadnoughts. Others went back to it for simple linguistic convenience.
US dreadnoughts were all built and commissioned from 1910 to 1914. USS Texas was the last US dreadnought type built. The ‘Standard’ class battleships that followed on from 1914 to 1920 dropped any mention of the ‘dreadnought’ name in official documentation even though WW1 had just started when the first entered service. Some called them superdreadnoughts, but they are somewhat different in concept and layout from what everyone else considered an SD. And after 1920, the US started building “fast battleships” which could actually outrun most other countries’ battleships - and no few cruisers. Some note that technically the Iowa class would have been considered battlecruisers if we’d built the monstrous Montana class.