"Democracy" just means "government by the people". That's why we have different types of democracies, to tell them apart.

If you actually meant a direct democracy, then you should have said it. Don't expect people to be able to read your mind and then get mad and snarky when they don't. We can only interpret what we read, so being specific that you mean a direct democracy when you say the word "democracy" in a political thread is really needed.