In future if bitcoin is allowed in countries around the world and most online based companies will start to allow bitcoin as their payment currency/gateway/exchange. But what do you think if we would be allowed to transfer our money to our bitcoin wallet from our bank accounts like PayPal does? Will it be a good thing for banks and us?
Nothings impossible around the virtual transacting to think that this is the future of currency
Banks now are accepting bitcoin converting to fiats so wht you are asking is the opposite of this matter t,things that would be possible in another years from now,since banks are starting to adapt their technology to blockchain,so we are only waiting for short periods of time for this to happen.