Switzerland didn't allow all women to vote until 1990, and didn't allow any women to vote until 1971.
You might say, will they did eventually and recently fix that, but what systemic inequalities allowed that to last so long?
For what it's worth, I do think direct democracy is good, but I don't think direct democracy always solves the most urgent problems or ensures that nonmajority people can survive.
Let me be extra clear, Swiss voting system sounds pretty good. But it's not flawless. It can even be the best system in widespread use and not be flawless. The will of the majority can be wrong, and it needs to be acceptable to challenge it.
Here in the USA the will of the majority was to segregate schools and prevent Black kids from attending them. That's what the majority wanted. It was wrong, and the minority using the courts to overturn the will of the majority is correct. Waiting to convince a new generation to integrate would do irreparable harm.
Challenges to the majority viewpoint are crucial and healthy and normal in a democracy. Whether that majority is conservative or progressive, we need to test the results regularly.