I think the main point is that someone in another thread said we lived in a democracy.
The larger point is that "words mean things" and if you don't know the definitions, then you miss the point.
A "state" at the time of the founding was understood to be a "country". We were, under the original Articles of CONfederation a group of united States(small 'u', big 'S')
And I capitalize "CON" because a "confederation" is a group of loosely related states. The European Union is a confederation. The "European Central Union" cannot reach out from Brussels and touch an individual in Greece or Spain or France for instance.
A "Federation"(no 'con') is a group of state with a strong central government which can reach out and touch an individual anywhere in it's jurisdiction. The United States(big 'U', big 'S') is a "Federation" under the Constitution because the Federalists won the fight against the anti Federalists.
The 9a and 10A were supposed to limit that but you see how well that worked.
If the 10A was in force, the South should have had reserved the right to secede and form their "CONfederation" but Lincoln made sure they understood that that wasn't going to happen.
In a "democracy", it's "one man, one vote" and you only need 50%+1 to make things happen. In a republic, the people elect their representatives to do their voting for them.
The "Pledge of Allegiance" says "to the REPUBLIC, for which it stands" yet we've somehow been duped into saying we live in a "democracy" which couldn't be further from the truth.