As feedback to the author, I made the same mistake initially. It was only around halfway through when I realized the voters in question didn't necessarily care what they were voting for in the usual preferential or political sense, only that they were trying to have any consensus at all.

Looking back at the page again from the top, I see the first paragraph references Paxos, which is a clue to those who know what that is, but I think using "There’s a committee of five members that tries to choose a color for a bike shed" as the example, which is the canonical case for people arguing personal preferences and going to the wall for them at the expense of every other rational consideration, threw me back off the trail. I'd suggest perhaps the sample problem being something as trivial as that in reality, but less pre-loaded with the exact opposite connotation.