Would 14-inch-armed British battleships need to get dangerously close to hurt Yamato?
Short answerThey would first try to blind and degrade Yamato at range, then close for decisive fire once its return fire was less effective.
NotesA mission kill does not require immediate belt penetration. British ships can use higher-rate 14-inch fire to damage upperworks, optical systems, and fire control, reducing the enemy's ability to reply effectively. They then close toward a range where decisive hits become more likely, unlike doctrines centered on securing the kill entirely at long range. Disabling the opponent's ability to aim can be the first step toward penetrating its strongest protection.