No because if there an bitcoin bank then how about our bitcoin wallets? that we use to stock our bitcoin from earnings and if there an bitcoin bank i will not totatly deposit my bitcoin if there an fee's like bitcoin wallet it much more better to use bitcoin wallets than bank 
just saying.
I think you're free to choose to use bitcoin wallet or bank bitcoin. both have the same function that is a medium for storing bitcoin, the difference is that you can make a profit when you save your bitcoin in a bank bitcoin just saying.What profit are you talking about? If you are using a service(bank), you probably will pay taxes, if you want to make some profit, just put your bitcoins in casinos bankroll, exchanges, ICO's or any other service... Just avoid banks, that's why bitcoin was created, to be descentralized... If you want to keep yours bitcoins safe, just make a paperwalet and hide it.