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?
I don't think so as they don't share common interest for now. Unless the whole financial thing shifted and have the means of making ways for their advantages. When you think technically about it yes it's plausible but when it comes to the leverage, banks won't give in.