What did your father think of the capital-ship spectrum when you discussed it with him?
Short answerHe regarded it as obvious, a reaction shared by naval architects of his generation: speed required tradeoffs in hull proportions, machinery space, and structural density.
NotesArmed-service and engineering knowledge often survives as institutional memory instead of written doctrine. Naval architects trained close to the battleship era understood battlecruiser and battleship characteristics as design tradeoffs rather than immutable labels. Higher speed generally required a greater length-to-beam ratio and more machinery space, producing a less dense arrangement. The category followed from those choices and from the contemporary requirement.