You're misinterpreting the text, it is not saying the "democracy" label is wrong, just that it is an incomplete classifier.

Whether the US is a democracy or not is defined at the state level, not the federal level, which is why it can be seen as inaccurate. But because the states have democratic elections, the US can be called a democracy.

US is certainly a democracy, which is understood in common usage as a system of government with universal suffrage, where the population votes for political representatives who then go on the make the laws of the land.

The same reason we call the UK with a monarchy a democracy. They vote for their government.

> Democracy (From Ancient Greek: δημοκρατία, romanized: dēmokratía, dēmos 'people' and kratos 'rule'[1]) is a form of government in which the people have the authority to deliberate and decide legislation ("direct democracy"), or to choose governing officials to do so ("representative democracy")

A constitutional republic is a form of representative democracy

https://en.m.wikipedia.org/wiki/Representative_democracy

It sounds better and is just a pr stunt.