Scrutinizing the "reality" of a joke in a scene in a movie about a thunder god and his big electric hammer fighting ice giants and flamethrowing steel monsters seems a little ridiculous to me.
Or, taken more obtusely it could be argued that the scene is a very scathing commentary on the "me-me-me-me" narcissism of the world today and of our generation specifically. Jane may be lamenting the loss of her entire life's work, but Kat lost her iPod. Doesn't matter the magnitude of the matter; all that matters to each is what they themselves have lost. I'm surprised that you of all people didn't "get" that part of it, Trekker.
Nah, overthinking it.