I’m going to dance in your framework even as I work so had I think, “I need a new framework”.
If puzzle uses an expansive definition suited for pen and paper, such as, “solving without murdering,” we’re encompassing Talking into it. From there, we’re encompassing Story & World Delivery, although they often lack the oppositional problem to solve that Puzzle implies.
No, better, you’re framework is about describing things to solve, and as such most of the time in open world is negative space; Not Game and thus we’ve vanished it from our scheme. And we don’t need to worry about it anymore!