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.
should that happen, It definitely would be a huge win win for both the banking industries and crypto adopters, As It would make the use of fiat to crypto and vice versa easier and perhaps more transparent(without need a third party exchange) than it currently is. It will also drive crypto further to its initial goal of being widely and generally accepted as means of transaction between all of firms.