Five stages of grief: Do they exist? Does it matter?

The idea of grief being expressed in predictable emotional stages dates back to the 1960s, writes Claudia Hammond at the BBC. But recent studies in the last decade suggest that reality is seldom so neatly defined. Her story is an interesting history of the science behind a popular idea, but also makes me curious. Is there a value to the five stages of grief even if they aren't strictly 100% accurate? For instance, if it gets average people to accept their own emotions or to understand that grief can be expressed in different ways, is that valuable socially ... even if the exact framework isn't valuable scientifically?