It varies. In certain comic arcs, Lana Lang may face life-threatening situations but doesn't necessarily die. The fate of her character can change based on the creative direction of the writers and the demands of the story.
Lana Lang is a character in DC Comics often associated with Clark Kent (Superman) from Smallville. She's been depicted as a friend and sometimes love interest of Clark.
One common theme is friendship. Since Naruto is known for his strong bonds with his friends in his own series, and Lana also has her own relationships, when they are combined in fanfiction, friendship often plays a big role. Another theme could be the exploration of different worlds. Naruto's ninja world and Lana's world (depending on which Lana it is) are very different, so exploring how they interact with each other's worlds is common.
She has been part of American Horror Story. Her unique style and music added a certain atmosphere to the show. Her presence was quite notable, bringing her own brand of allure to the rather spooky and complex world of American Horror Story.