I trust only that banks are either government owned or if the deposits are insured by the govt .
Either be it government bank or private sector, I don't think there is any fear as nowadays banks can't run awatly with your money. All the money is being handled by a central body. I personally don't fear banks but I do fear its policies which does varies.
Banks are becoming a figure of hatred in the presence of digital currencies because of the high interest rates bank charge us when giving loan. Too many taxes are also imposed by banks and service charges are another headache. I am personally against banks and the reason is their useless policies.
People are leaving banks for saving money and switching to digital currencies especially bitcoin for the best ever value of their money.