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.
Why would you want to send your Bitcoin to a bank when Bitcoin was literally created to work without banks and third parties?
Even if they start accepting Bitcoin they would not allow you to withdraw whenever you want, they would charge additional fees, they would force you to use their ''approved'' wallet, and other crap like that.
Because people do not use Bitcoin for its purpose. I love pre-2017 Bitcoin when the price was low, transaction fees were almost non-existent, when there were no KYC requirements available, when you could mine Bitcoin at home even without a free electricity, when you could trade Bitcoin without a hassle. Today Bitcoin is a commercial business and almost everyone acquires it for this purpose, to make more money. People will send Bitcoin to bank account to earn interest on their Bitcoin deposits. Today people don't use Bitcoin to escape the bank but to make money, so this doesn't surprise me anymore.