I see your citation to "Harary's" law and rebut it with ACTUAL law.
Under
New York law, "
Sandwiches include cold and hot sandwiches of every kind that are prepared and ready to be eaten, whether made on bread, on bagels, on rolls, in pitas, in wraps, or otherwise, and regardless of the filling or number of layers. A sandwich can be as simple as a buttered bagel or roll, or as elaborate as a six-foot, toasted submarine sandwich."
New York is not alone in this attitude. See California (Treasure Island Catering Co., Inc. v. State Board of Equalization 19 Cal.2d 181) (hamburgers and hot dogs are sandwiches). See also
SALES AND USE TAX REGULATIONS - Article 8.
Similarly, your attempt to analogize Harary's Law to sandwiches fails even the most cursory scrutiny. A tunafish sandwich is indisputably a sandwich, as is a peanut butter & jelly sandwich. These two elementary examples handily disprove your assertion.