I am very sure that one day, traditional Bank will begin to accept Bitcoin as a legit medium of exchange, people need to be given freedom to deposit their BTC directly just like the regular money.
Why would you even want to do that, to keep your bitcoin in the bank?
With bitcoin, you are supposed to be your own bank and not to put your own bitcoin into someone else's hands, basically loosing control over it. Having said that, I have no doubts that many would still do that, no matter how stupid and shortsighted it actually is as people nowadays are doing even worse thing, like keeping their bitcoin on the exchanges.