Not defending direct democracy, but it's not clear that if 60% of eligible voters participate it entails A) the people endorse the voting system B) it expresses

Not defending direct democracy, but it's not clear that if 60% of eligible voters participate it entails A) the people endorse the voting system B) it expresses their will. You can waffle a little and say that if people hold their nose while voting they still are endorsing it and it expresses their will, but I don't think that's what I understand "the will of the people" to be. I prefer a punch the leg over a punch to the nose, but that doesn't mean I endorse being punched and that the leg punch expresses my will.