Is a hotdog a sandwich?

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

Look at almost any classic menu and the hot dog will not be found under the sandwich heading. It has its own line, or sits with the burgers, and the burger is likewise kept apart. Proponents of this position treat that arrangement as evidence rather than accident. Menus are written by people whose business is describing food to customers who need to know what they are ordering, and the categories they use have been stable across countless establishments for decades. If hot dogs belonged among sandwiches, the people with the strongest practical incentive to classify food correctly would have put them there. What the menu records is a real culinary distinction. A hot dog and a hamburger are a particular style of food — diner food, assembled to order, eaten in the hand, built around a specific format of bun and filling — and that style is not what anyone means when they ask for a sandwich. The categories track how the food is made, ordered and eaten, which is what a working classification is supposed to do. There is also a problem of consequences. If a hot dog counts as a sandwich, the definition doing the work is broad enough to swallow a great deal else, and menus would have to file many further items under the sandwich heading — producing a section so capacious that it tells a customer nothing. A category that includes almost everything has stopped distinguishing, and a classification that stops distinguishing has failed at its only job. The simpler account is the one the menus already use and the one ordinary speech follows. A hot dog is a hot dog and a sandwich is a sandwich; they are different things, and a hot dog is not a sandwich.

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