Just for reference, the process to "mothball" fleet boats after the war, which occurred before any were released to become Naval Reserve trainers, was that the Navy was supposed to remove the screws (propellers), remove all the batteries, preserve all the diesel engines and electric motors in cosmolene (sp?), dry out the piping systems, install a dehumidifier for the interior and enclose the deck guns in "cocoons." Obviously, there were some exceptions: I understand Ling has her battery cells.
I don't know if the battleships and carriers had their props removed as a rule. It's been a while but I believe the USS North Carolina has one or two of her props on her after deck and I thought I read that the USS Intrepid had its trip to the shipyard delayed because the blade of one of its props was digging into the Hudson River mud.