I love depositing my fiat to the banks and they are making money with it but if its bitcoin. I don't think I would avail this service but there's a possibility that it will come and they will be targeting those bitcoin investors/holders that doesn't really understand on what bitcoin is, being your own bank. They might attract those type investors by saying that their bitcoins will be safe on their hands. We know on how the banks are doing well in making money.
I dont think if that would be happen. Maybe it takes time for this to be happen but we hope someday it will happen because it saves time and energy. We hope that bitcoi will be fully develop so that it will be a less hassle for the transaction to everyone. And i think if banks will offer that it will be more secure and protect the money for its easy and convinient transaction.