Thank goodness we got the issue resolved. This was the second time I brought that diagram to show them. They refused to believe that. They called it a resonator, a baffle, or a catalyst tube. The showed me the replacement part and the exterior looked the same. They showed me the inside of the new one and you could see through it and it had small holes inside. I never got to see the old part. I still think it is a catalytic converter. The old part had a small exterior crack and supposively that it where the loud rattle was coming from(a 1cm crack???) Recently, I had the cat conv upstream of that one replaced. I'm thinking there was a piece of the old one stuck inside this other one which caused an internal rattle. Before, they told me it was an internal rattle and now they say it is coming from a tiny crack on the housing.

Go Figure. Well anyway, the dealership ended up paying the full price of 500 something dollars.
Sorry to babble on, but don't get screwed over by dealerships.