It depends on the app whether that would make sense. If it is document centric, then yes. The user should explicitly open every time. If it doesn't make sense for the user to open it every time, it should ask for permanent permission and that should be recorded in system settings where it can be removed.
What would not work? Give a specific example. The app has access to its own state data regardless. If it needs permanent access to one of my folders where I maintain my data, all it has to do is ask once.