This question is depends on what will actually happen in the future. I guess that it might be it. The banks might do it but I think it might not. That's the difference. It is whether the bank's choice to do it or not. It is up to them.
At the moment I don't think it's possible because the system is different between banks and bitcoin. Someday in the future it may be because the change is certain to occur, both bitcoin is synchronized with the banking system or banking that adjusts to the way bitcoin works. Who knows? Because technology always develops in line with human needs that want to be easy, cheap and safe.