There is no democracy other than direct democracy. If you cant fire your government this afternoon, they own you, not the other way around.
If we assume that Switzerland is probably closest to the ideal of a direct democracy please take note that voters can not directly vote for the executive government (The Bundesrat, or federal council).
They elect members of the two houses, which in turn elects the 7 executives. Usually this is based on the recommendation by the parties and with a specific formula considering party, language and area of the country.
We also can't fire government members this afternoon. It's just like everywhere else. We can just not re-elect them.
You appear to make up your own extreme definition of what the words "direct democracy" should be and what they should mean. But it's not like that. There are ways words and condepts are commonly used. [1]
That would certainly be clearer :)
But I'm always happy to learn if you can come up with a counter example.