@Walter Hinteler,
My point is this.
Direct democracy would mean that each voter would indicate who she would like to run the federal government (either the Chancellor or the President or any other executive head of any other government).
If you read American history, our founding fathers were afraid of direct democracy. It puts too much power into the hands of uneducated people (i.e. the common rabble). That is why we put a layer of elected representatives to stand between the voters and the power to choose a government.
I don't know German political history. But I imagine it is the same.
You don't have the power to cast a direct vote to indicate who you want running the federal government. I don't either... but the US system comes closer.
When I voted
1) I filled in an oval marked "Joe Biden/Kamala Harris" on my ballot.
2) I had the option to split my ballot between two parties. I could have voted for Joe Biden (the Democratic candidate for president) and still voted for the Republican candidate for Senate.
I think the second of these abilities, the ability to split a ballot, is actually a useful feature of the American system.
As I said, I favor getting rid of the electoral college and having a
true direct democracy when it comes to electing a president. I don't favor the German system which puts more separation between the voter and the federal government.