I think Kate leaving the pack on just does what you said. It shows she wasn't thinking. I mean, if I had the dynamite in my pack, I'd put it down before I ran. And she couldn't have known she didn't have it. She was shocked when Jack told her to get it out of his pack and not hers. And then she got all huffy with him later about it. I just thought it was an error that the writers and whatnot hadn't caught at first and felt so proud of myself for catching it. Then you find out Jack never put the stuff in Kate's backpack in the first place!
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