I see a distinction between players creating new fiction about a mystery, even when constrained by rules, and players discovering new information they did not create.
There is a reason I keep referring to Clue/Cluedo. That's a space where nobody "authors" anything. Nobody is creating new fiction with their participation. You can't, even in principle, enter a new fact into the situation which completely turns the thing on its head and reveals that all the work you'd done up to this point was a sham, a fabrication, a ruse, etc. Such a thing is not only possible but in many ways desirable under systems that defer any solution even forming until after the players have done extensive investigation. Such a thing is not possible in anything I would consider "the players themselves are, personally, solving a mystery."
In Clue/Cluedo, the whole point is to figure out who did it, where, and with which weapon. You are only able to access negative clues (your own cards and the ones you are shown by other players), but these negative clues allow you to narrow down the range of suspects, locations, and weapons until you have a small enough set that you feel comfortable risking a gamble at the correct solution. If you fail, you're out of the game; if you succeed, you've won specifically by solving the mystery, yourself, using your own deductive, inductive, and abductive reasoning. Your character is theoretically doing the same thing but it's almost pure pawn stance (given you can literally accuse "yourself" in most versions...and might even be correct to do so!)