Re the bolded text, I suggested that they were similar, not, different, so I'm not sure what your objection is. I did provide two examples of each that illustrated different levels of agency, but I did not suggest that they were fundamentally different examples.There is a difference between RPGing-as-puzzle-solving and RPGing-as-story-now.
But the idea that there is something inherent to a story about a protagonist finding a secret door that therefore means RPGing must or ought to or even naturally will handle that differently from a story about a protagonists killing an Orc - that is the idea that I reject.
Also, I reiterate that the player does not find a secret door. The player sits at a table in a living room, participating in a story about an imaginary character finding a secret door. In the puzzle-solving approach, the player learns that the GM has decided that the fiction includes a secret door. That's why another description of RPGing-as-puzzle-solving is RPGing-as-learning-what-is-in-the-GM's-notes.
In the second secret door example it is indeed the player that decided, which is why it's significantly different in terms of agency from the first. It's like the player deciding that there is an Orc there in the first place rather than simply declaring a PC action affecting an existing orc and resolving it via the mechanics and process appropriate to the given game. The term existing there indexes the presence of the 'thing' in advance of player declaration, i.e. in some way established by the GM or adventure text (and then through the GM into the diegetic frame).
Agency is about who decides, something I don't really see in your last handful of replies. I may have missed something upstream though.