It shouldn't and won't be happening, because Bitcoin doesn't supposed to be controlled by a Bank. Bank = Fee, because from where the bank will be able to profit other than the fees.
And anyway, what's the purpose of saving it in a Bank? For keeping it safe?
Yup, all the things that you say is so true. If that happens then the cost we will increase the time gambling, and I think the bank will start to do something that could make the price of the bitcoin can they play. This is not a good thing to do and is not good for the continuity of bitcoin. Better bank wearing a currency that now and the lone bitcoin