Hotdogs exist in their own category on menus

Question: Is a hotdog a sandwich?
Position‹2 of 2: No, a hotdog is not a sandwich
Argument‹2 of 2: Hotdogs exist in their own category on menus

Look at the "sandwich" section on menus - you won't find hotdogs.

The argument

If you look at almost any classic menu, you will find that the hot dog isn't located underneath that particular section. The same goes for a hamburger. Both are just different styles of food, "diner food", that can't be classified as sandwiches. A hot dog is a hot dog, a sandwich is a sandwich. If a hot dog is a sandwich, menus would have to place so many items under that particular section.

Premises

[P1]Classic menus categorize hot dogs separately from sandwiches, just as they do with hamburgers. [P2] These menu categories reflect genuine culinary distinctions between different styles of food. [P3] If hot dogs were sandwiches, menus would be forced to lump too many distinct items into the sandwich category. [C] Therefore, a hot dog is not a sandwich but its own category of food.

Counter-arguments

Some menus actually DO have hot dogs and hamburgers under their sandwich section on the menus. You can't place all menus into one category, and you also can't use something like that to decide whether or not hot dogs should be considered as sandwiches.

Rejecting the premises

[RP1 - P2] This argument is an appeal to authority. The case could be made that in debating the meaning of words, an appeal to authority is appropriate (descriptivism). But this needs to be spelled out