All of the events of Frozen are Anna's fault. All because of two lines:
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"The sky's awake, so I'm awake, so we have to PLAY!"
Was it awake? Yes. But they are in Norway, where the lights can be seen often (I might have got that wrong, but I know it isn't rare).
"Do you wanna build a snowman?"
Was she a child? Yes. Did she know better? Yeah, but she obviously didn't care. She pestered Elsa until she played with her. Sure, Elsa gave in but Anna wouldn't let her sleep. Wouldn't leave her be, despite being told that Elsa just wanted to sleep.
Anna also didn't listen to Elsa when she tried to get her to stop when the girl couldn't keep up. So, yeah.. I mean, that's kinda what she gets.
Look, I get that kids are kinda hyper and test limits. But Anna should have stopped the first time she was told no. Imagine what would have happened had she stopped..
Elsa would have learned control. Anna wouldn't be so desperately annoying for any scrap of attention. Their parents wouldn't have separated them, Elsa wouldn't have shut herself off from everyone.
Does that have anything to do with their parents' deaths? No. But if Anna had listened when she was told "no", the sisters could have grieved together and presented a strong front to their people. Arendelle wouldn't be seen as a "mysterious trade partner" by Weaseltown.
Kristoff wouldn't have been adopted by the trolls, but he had, ya know, PEOPLE around him with the ice harvesters. He'd have some social skills and wouldn't be a pick me boy. Would he and Anna get together? No, she wouldn't have a reason to be with him. (I don't ship Anna/Hans, I ship Helsa, sorry guys.)