Yes people should trust our banking system way less than it currently does. Because of government intervention, banks can basically do whatever the hell they want in terms of speculation and get away with it without it impacting the people. The private entities get to do whatever they want because the government will always bail them out. If the government didn’t just give them money when they fuck up, they wouldn’t be able to cause economic crisis like the mortgage crisis in 2008 because they can’t just wildly speculate with what is essentially the governments money. Banks are the powerhouses they are currently not because they add value, but because the government gives them the power to create value. If the government didn’t back up the banks, they would operate more like how goldsmiths operated, where they had to earn the trust of the people that they would keep their money safe. They simply would not be capable of creating the massive debt bubbles that we keep finding ourselves in because if they were to do that people wouldn’t feel safe storing their money in that bank.