The Government and Military disagree with you:

Although the terms “admiralty law” and “maritime law” are often used synonymously in the United States, they are in fact distinct from one another. The Framers of the U.S. Constitution used both words in Article III, Section 2: “The Judicial Power shall extend . . . to all Cases of admiralty and maritime Jurisdiction . . . .” (U.S. Const., art. III, § 2). Admiralty law is comprised of rules that define the scope of the court’s admiralty jurisdiction, while maritime law is the substantive law applied by a court exercising admiralty jurisdiction. Maritime law consists of substantive rules created by federal courts, referred to as “general maritime law”, which do not arise from the Constitution or legislation of the U.S. However, the federal courts’ power to create these rules does arise from the Constitution’s grant of admiralty jurisdiction, as does Congress’s limited power to supplement admiralty law. General maritime law may apply rules that are customarily applied in other countries or those which are purely domestic. The federal courts have also occasionally looked to state law in resolving maritime disputes.

Sauce: coast.noaa.gov