Who would win a fight between Scharnhorst and Strasbourg?
Short answerStrasbourg has the advantage because her layout, redundancy, and ability to maintain speed in likely North Atlantic conditions outweigh Scharnhorst's claimed advantages.
NotesStrasbourg can present her bow, concentrate her forward battery, and offer a smaller target. Her layout also gives useful redundancy, while her seakeeping should let her maintain speed more effectively in the North Atlantic conditions where an encounter is likely. Those environmental advantages matter as much as nominal maximum speed or belt thickness. Claims of decisively superior German armour quality are also doubtful because Germany had difficulty restoring armour-plate production.