Thank you for the reply! For the third example, I was thinking you would be in a 3D world and could build ladders on any tree, or dig caves anywhere, and you had to use maps and story events to find the right places to explore to progress the narrative. So maybe you're a treasure hunter on an island of thieves, and you talk to people in town to find out where they hid treasure and their maps and then use the newfound wealth to purchase a boat and leave. Based on your reply, I think this would still probably fall too much under action-adventure or 3D platformer for your tastes, so I'm going to guess it's a no here too.
As I'm more ludologist than narratologist, I think this isn't the jam for me, but best of luck to everyone else participating! I prefer making systems and puzzles in my gameplay, and the story usually ends up secondary to the moment-to-moment engagement. You definitely cleared things up for me, so I appreciate all the time you put into this thoughtful reply. I hope this jam produces a lot more great adventure games for everybody!