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. I believe that this will come to pass when the major world powers officially recognizes and adopts Bitcoin, this will make a foundation for banks to stand up and integrate it into their financial system. I believe in Bitcoin .
Bitcoin is an independent currency, so in my opinion, linking it to a bank may not look very good, besides, if Bitcoin is deposited in a bank, it will be a great advantage, but it will be a disadvantage. Depositing Bitcoin in a bank will not happen soon, but it will have to wait a long time, because most countries in the world have not yet recognized Bitcoin. Countries that have legally recognized it may launch such a system. I think depositing Bitcoin in a bank will not be a very good thing, especially for those who try to protect their privacy. When you deposit Bitcoin in your bank account, of course the government can notice you, and your privacy will not be protected. But the current position where we keep Bitcoin is that no one can identify us, here the person has a lot of security and privacy. However, the comment you made may be that if developed countries recognize Bitcoin in the future, if they launch a system, Bitcoin can be deposited.