The Short Version
Under the most widely recognized lexical and legal definitions, a hot dog served in a split roll does qualify as a sandwich. Merriam-Webster's dictionary explicitly includes it, and New York State tax guidance formally categorizes hot dogs under sandwiches. However, the claim's unqualified framing omits that this classification is contested: the National Hot Dog and Sausage Council rejects it, and alternative structural frameworks categorize hot dogs differently. The classification is real but not universally settled.