Being a volunteer at the Los Angeles zoo, if I do hear that there is an animal loose at the zoo its my duty to help the visitors get out the zoo or find safety, only then is when I could start worrying about myself. That being said, this year it did happen when a male orangutan escaped from his exhibit, but fortunately he was captured mins later, so I didn't have to worry that much.
Anyways...I would never want to hear that a big cat (specially the male tiger at the zoo, he's always grumpy) or a chimp has escaped from it's exhibit. Chimps are scary when they go crazy, so I wouldn't want to be infront of a raging chimp when they are out of their exhibit.