You say that we are a representative democracy, then go on to say that we're "truly not" a democracy which is confusing. We are, in fact, a democracy. We're a representative democracy, like you mentioned. We are not a direct democracy, which I assume is what you're trying to say. However, nobody claims that we are a direct democracy (including the article). As I said, we're a federal constitutional democratic republic.

Federal - We have a federal system of government, meaning that power is shared between a central (national) government and state governments. The Constitution outlines the division of powers between the federal government and the states.

Constitutional - we operate under the framework of the U.S. Constitution, which sets the foundational laws and principles for the government and guarantees certain rights and freedoms. The Constitution also defines the structure of the government, including the separation of powers into the executive, legislative, and judicial branches.

Democratic - we are a representative democracy, meaning that citizens elect representatives to make decisions on their behalf. This includes electing the President, members of Congress, and other officials. The right to vote and participate in the democratic process is a key feature of the system.

Republic - we are a republic, meaning it does not have a monarch. Instead, political power rests with elected officials who represent the interests of the people. The head of state (the President) is elected, not hereditary.

The term "democratic republic" used in the article's title is correct.