I think you’re right. I haven’t watched your video yet, but I was curious, so I fired up Paris, pushed Dalia onto Viktor (always a good time) and then made a save (with SA, of course) right before exiting in the basement.
When I punched a chef in clear view of another chef, I lost never spotted, no bodies found and no noticed kills. When I lured one of the chefs away and punched him in the face without anyone else around, I lost never spotted and no noticed kills.