Have never considered a burger a sandwich, yet I bet if you had asked my uncles they would have said yes. They would have seen nothing wrong with having a burger between 2 pieces of white bread, not for me. Funny you would mention a Hoagie, I guess I do consider it a sandwich, but certainly not like a grilled cheese or tuna on toasted sourdough. And i guess a cheese steak is a sandwich, but it and something like an Italian Beef, I guess I have always put in a separate category!