Earlier quoted context omitted.
That's not how direct democracy works. 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 par…
I looked up the Swiss system, and it certainly is not direct democracy.
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]