Could HMS Tiger, if armed with fourteen-inch guns, take on a Kongo-class battlecruiser?
Short answerYes. The heavier-gunned Tiger could fight a Kongo-class ship without undue difficulty.
NotesThe counterfactual gives Tiger a heavier main battery than her historical 13.5-inch guns. That version could take on a Kongo-class ship successfully. Fourteen-inch guns would place the British ship in the same broad calibre bracket as its Japanese opponent. A modest armament change would therefore alter the balance of this battlecruiser matchup.