One day banks will accept Bitcoin as medium of exchange and accept deposits from bitcoiners. As soon as the world powers accept it as medium of exchange.
What is the use of taking your Bitcoin to bank? It is something unreasonable because banking system is completely centralized, and Bitcoin is created to do something directly opposite to them entirely, then why should you expect them to accept Bitcoin as deposit, it is completely unreasonable mate.
I think anyone that sends their Bitcoin to centralized authorities like banks and so did not understand what Bitcoin is all about because it is the same as saving your Money in the exchanges because you know you don’t have control over it.
Moreover, banks cannot do anything they will not benefit from, therefore, they will not accept Bitcoin in my opinion because they might not be gaining from it, and when the market goes up, they might not be happy.