No that's exactly the lesson that they (the banks and the government) don't want people to learn. That lesson had started causing a run on every single bank except the very largest mega-banks.
Stability and trust in reputable banks is not zero-sum - it benefits everyone.
I suppose it's possible that they don't want people to learn it, but if that's really true then the western banking system is in a lot more trouble than I even thought. The idea that learning a basic truth should completely undermine confidence is shocking. Perhaps I've been wrong to be a cryptocurrency skeptic all this time.
Stability and trust in reputable banks is not zero-sum - it benefits everyone.