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.
If I may ask why would you want to take your bitcoin to the bank or why would you want to have a bitcoin transaction in the bank, If Banks begins to accept bitcoin deposits you should be rest assured there will be a lot of charges involved, and mostly you will have delay in your transaction, I think Bitcoin was just made to be an online asset, It doesn’t matter how if banks accept bitcoin deposits, be rest assured that bitcoin will always be Independent to itself. Bitcoin will always remain an online asset.
If banks start accepting Bitcoin, the biggest problem is that Bitcoin, which was considered a symbol of financial freedom, will be hindered. All investors there will be under the Bank by doing KYC process. A Bitcoiner cannot remain anonymous as he wishes, which will definitely indicate the opposite of the purpose of Bitcoin's value. If this system of banks continues, eventually all Bitcoin users will be under control through KYC. That is why I think that the adoption of Bitcoin by banks won't have importance. Moreover, it is safest to keep Bitcoin in your own wallet according to your convenience.