> Setting aside pedantry about the US being a republic and not a pure democracy,
Actually political scientists routinely refer to the US as a democracy. You're splitting a hair that experts do not. The word "democracy" does not only mean direct democracy. Mentioning this non-issue at all is a signal, but maybe not the one you hoped for.
I actually thought of this because of a line in The West Wing where the President is making a point about representation, then went off on a googling exploration to understand a bit whether it is a meaningful distinction - most of what I read seemed to reinforce the notion that the difference is important.
In day-to-day life it certainly doesn't matter - but when you are attempting to discuss the nature of that political system itself, I don't think it is at all unreasonable to call out the distinction and decide whether to discuss it further. No need for snide jabs.
Actually political scientists routinely refer to the US as a democracy. You're splitting a hair that experts do not. The word "democracy" does not only mean direct democracy. Mentioning this non-issue at all is a signal, but maybe not the one you hoped for.