No, I do not believe that. We must admit that what has allowed banks to acquire so much economic power is their ability to understand where capital is, and make the necessary efforts to keep it.
Knowing that banks will never fight against capital, what I see today is a growing interest of banks to incorporate blockchain technologies into their processes, and because of their marked interest in taking over everyone's money, it would not be strange that in the near future we will see banks willing to accept cryptocurrencies to carry out financial transactions.
I think that when bitcoin is widely used, then they will not need banks to trade or transfer money to foreign countries anymore. That means that bank deposits will no longer. So banks have to keep up with the trend in new areas or they will die.