Why would you want to send your Bitcoin to a bank when Bitcoin was literally created to work without banks and third parties? 
Even if they start accepting Bitcoin they would not allow you to withdraw whenever you want, they would charge additional fees, they would force you to use their ''approved'' wallet, and other crap like that.
Even if they start accepting Bitcoin they would not allow you to withdraw whenever you want, they would charge additional fees, they would force you to use their ''approved'' wallet, and other crap like that.
People want a way to use their bitcoin across any product or services in their country and banks have already built infrastructures that can streamline those processes. Say, I want to pay for a product or services in my country and the vendor doesn't accept Bitcoin directly, I can send Bitcoin to a bitcoin wallet the bank designated and use it to pay at will.
It's the convenience people often want along with financial freedom. It's not a service I'm looking forward though.