Why can the design not simply use a 4.5-inch secondary battery?
Short answerThe limiting factor is the lack of a suitable upper-deck mounting, not the existence of the 4.5-inch gun itself.
NotesThe desired 4.5-inch option is unavailable in the simulated design because the gun and its mounting are separate problems. The weapon existed in a battery-deck form, but the required upper-deck mounting was the constraint. Calibre alone does not determine whether a gun can fit a ship. Mountings, handling arrangements, and integration also shape the choice.