I don't have any reasons not to trust banks because as far as I know, banking storage of money is reliable and many business owners deposited their assets on a savings accounts they have for fiat cash money. Well if we ignore trusting banks its not worth earning btc because we can use fiat cash money, to exchange it from digital currency to fiat currency by using online wallet which has an option for bank cash-out.
Yeah that's what banks are something which are more thana century old and j think this person is thinking banks should be replaced by bitcoins or some other alternative which is too much. But I don't think bank is the only way to get bitcoins I met a person yesterday who would give me his bitcoins for my phone.
To date, the bank has no alternative. You say it yourself. So there is no alternative and is not. With bitcoin lot of questions and there will be many problems as your desires will be fulfilled. The first is the legalization and the effective recognition of the bitcoin currency, the second control operations and that everyone understands what it means. Bitcoin will lose benefits.
If someone will now the ways of taking care of their bitcoins then he will not need any banks for keeping his money/bitcoin in banks. That is why blockchain on its dashboard tells be your own bank. The banks are better but it will really lack us with some favorable features of bitcoin.