Okay, scratch that, it works only halfway correctly.
With *redirect_scene the game returns from the stats screen to normal mode and then goes to the listed scenes file, proceeding to work as usual. But once you go to the stats screen after that jump (to view the stats or whatever else) and return via the “Return to the game” button, it returns you to the point you were at before using *redirect_scene.
I’m not sure if it’s not a bug because the results kind of contradict the instruction text for *redirect_scene.