I doubt death in the candy kingdom is nothing more than a minor inconvenience. She died once and was brought back wasn't she? Not to mention one of the first episodes of the series involved zombie candy people.
Also, is anyone else excited about Fionna and Cake?
I'm excited for Fionna and Cake, especially given the hilarious spoilers I've gotten off /co/.
Also, If I remember correctly, dying for Princess Bubblegum might be a bit more of an inconvenience than for most of her subjects, since she's (according to the creators) half-human. The other half of course is radioactive bubblegum.