This is wrong. A "true democracy" is the system where you need to "sway" the most people on the catastrophic idea. The worst scenario is a totalitarian system where exactly one person can take the catastrophic decision on their own. Everything else is in-between.

It does NOT mean that democracies cannot go wrong. Just that a functioning democracy represents the majority of the people, and we don't have a single system that can steadily represent more people than a democracy (by definition).

It also does NOT mean that democracies are not frustrating: when you are in the minority, obviously it is frustrating. And of course you will be in the minority from time to time.