Yes I agree with the idea of bitcoin bank because of the security reasons which of our money that has very good foundation, unlike with online wallets which is very prone to hacker attacks. If banking will implement this ways of digital currency it should be an offline system and you can only access your account prior local system transactions made personally in the bitcoin banking system in order to prevent bitcoin stealing, like possible bank robberies which there is no fiat cash form of money.
i think the bitcoin bank is not such a good idea, as we are already tired from the traditional banking system, therefore i will never like to continue such a boring system. i think the online wallet system is the best system as i am using it for such a long time and will like to continue, because i can access to my online account from anywhere and at any time.