You seem to miss the point.You are describing a direct democracy. We are a constitutional democracy, aka a Republic, which happens to use an electoral college to elect our president. We could have established a popular vote for president, and it wouldn't change our status as a Republic.
My first point was
No matter what you personally want to refer to our Republic as, the fact is our nation would have never existed with a popular vote for the Presidency, thus any other point you make is moot. No less populus state was willing to submit their state sovereignty to form a union where their voice might not be heard. PeriodWithout our Constitutional Republic there would be no United States.
Representatives of the several States would have never agreed to join together under those circumstances.
Furthermore for the first 125 years the citizens of the states didn't even vote for their senators.
You choose to hide behind semantics, I'm dealing with the reality of the situation.