Abrasives will scratch stainless steel, but if it is thick with oil you may need to scrub with Baking soda. You also can use oven cleaner to get it back to new...make sure you rinse very well afterwards because I am sure it would leave a nasty rash on the neck.
Another thing. Gook can be cleaned off of Stainless steel with Mineral OIl (a.k.a. Baby oil)
Another thing. Gook can be cleaned off of Stainless steel with Mineral OIl (a.k.a. Baby oil)