I've argued that many of what philosophers call moral sentiments can be seen in other species. In chimpanzees and other animals, you see examples of sympathy, empathy, reciprocity, a willingness to follow social rules. Dogs are a good example of a species that have and obey social rules; that's why we like them so much, even though they're large carnivores.
I don't think pandemics make us afraid of death, I think they make us afraid of oblivion. They force us to grapple with the futility of effort. Also they make us barf which isn't fun either. . . Wash your hands, cover your coughs, and find a way to hold in balance the futility of effort with the necessity to struggle.