My opinion. Baking can be done in any kind of vessel with sides. but the word dish generally refers to a vessel as you described, i.e. glass, ceramic, enameled steel, or enameld cast iron.
I bake lasagnas, but I have roasted turkeys, chicken, and hams in my lasagna pan.
I have also baked lasagna in that pan. I would never refer to that cooking vessel as any kind of dish. I have metal pie pans, and glass, and ceramic pie dishes.
As I said though, that is my interpretation.
Seeeeeeya; Chief Longwind of the North