I think the core problem here is that the difference between a republic and a democracy has been blurred. The terms 'direct democracy' and 'representative democracy' somewhat make this issue nonsensical. A republic is, IMHO, a government where the people elect representatives and a democracy is one where the people control the government directly. The term representative democracy essentially has no functional difference from a republic. Why even have the extra term then?You mean here?It was defined a while back asshole.
A republic means the citizens elect representatives,
So merely electing representatives does not define a republic, which was your contention.
What would you state is the functional difference from a democracy and a republic?