In "Arthur Becomes King," Arthur was considered a hero because of his selflessness and bravery while in Don Quixote, despite trying his best to act like a nobel knight and hero, his actions slightly caused him to lose his title as a hero. Sure, Arthur also made a mistake in the story when he attacked his enemy while he was angry but most of his actions and behavior was very heroic.
Examples of Arthur being a hero. While he was king, he retrieved all the lands that were stolen