I'm not sure how much it's been theorized. But you should dig around in scholarship on Pentecostalism. If you're not familiar with the topic, check this out: Cecil Robrick has a chapter in the Cambridge Companion to Pentecostalism that traces what he identifies as four strands of historiography on Pentecostal beliefs/churches. One of them is indeed providential history. He talks a little how it can interact with others, although he definitely tries to be more hands-off about it. But I bet his bibliography will be helpful!