What might have followed if Japan had modernized existing heavy turrets in a new capital-ship design?
Short answerThe result could have been a capable and interesting asset, provided the state had permission and industrial capacity to build it.
NotesThe question proposes reusing existing Japanese heavy turrets in new capital ships, with British turret reuse as the comparison. The reply considers such ships potentially capable. Building them would still depend on permission and sufficient industrial infrastructure. No complete design or firm performance estimate is provided.