Bitcoin bank seems like a good idea, maybe we can see it in near future, especially if bitcoin price continue it's growing pace.
A bank not gonna help Bitcoin to grow it's price. It just turns things into the mess. Sometimes, Chaos are the better than Orders.
I think you are somehow right but still the answer from me is no. dont you think bitcoin should be prevailed to the whole word and for this they have to maintain every aspect of it. The ease of transactions and the ease of access like ATMs. Bitcoin is now getting nourishment in small parts of world but when it will be spread to the whole globe then this little team might have some problems.