I struggled heavily cutting the objects and didn't see the special object at all. On level one I interacted with every 3d object (cabinets, couch cushions included) and could not find any object that made no sound when dropped, and the couldn't cut a second object.
The concept of this game was really fascinating though, I would absolutely love to play a version of this with bug fixes!! If it had dropped on one of those browser sites back in the day this would've been a fast favorite