Couldn't you technically call the internet a non-private private network? It's all networks. The private/public part depends on the context you're talking about

Couldn't you technically call the internet a non-private private network? It's all networks. The private/public part depends on the context you're talking about. An example is that a network at starbucks is private to the people at the starbucks, but public in a sense that anyone there can connect.