What were Scharnhorst and Dunkerque built for, and should they be classified as battleships or battlecruisers?
Short answerThey were battleships: each navy built a battleship within its contemporary industrial constraints, even though the results did not match the familiar late-1930s form.
NotesBoth Scharnhorst and Dunkerque count as battleships because that was their intended role and design category. French and German infrastructure produced ships that looked unlike the most familiar late-1930s capital-ship model. Their differences do not automatically turn them into battlecruisers. Intended employment and national construction constraints matter more than a simplified visual template for what a battleship should be.