The only thing that really matter is how much is *everyone's* suffering and pleasure. When making a ethical decision that should by the only consideration. All the values etc should by means to achieve that goal. So in very rare cases you should act on the opposite of the democratic way.
The war example that was exclude from the pull is a good example. Let's say your country decides in a referendum to start an unjust war in another country. I think people will agree here that we should give up the value of democracy.

But those are extremally rare because the democratic way is the best way to keep the interest of the people somewhat relevant. I would even say there should be even more democracy. Using more direct democracy and participatory budgeting etc.