If Germany lost Scharnhorst and Gneisenau in 1940

How would German strategy change if Scharnhorst and Gneisenau were sunk with Glorious?

Germany would lose its two main surface raiders, likely deepening Hitler's hostility to large warships and altering later naval plans.

The loss would have effects far beyond a single action. Germany would trade a British kill for the disappearance of its two principal surface raiders, reducing the rationale for completing later battleships. Such a shock could reinforce Hitler's scepticism about large surface forces and alter British naval planning.