I think we know from using Athens of Ancient Greece as an example that true democracies of this kind are not a good idea at scale. Enough of the general public can be so easily swayed on a clearly catastrophic idea.

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.

Responsibility comes with practice. Switzerland is doing okay.