i can't see why not, if a bank can offer insurance and good interests on deposit like they do on fiat, it will be only good for the average joe that don't want to hold their bitcoin in their computer and risking a ransomware or other shit
i believe bitcoin are good to increase adoption in the future, or accelerate the already one that is established
I think its ok as long they really can make any insightful interests or put any tax in it. With my current income in btc i can be satisfied with just e cash but maybe in the near future if i want to incash higher amounts then i bank can be really useful. But i think in my locality, people really are not interested in btc that even if there are proposal in banks to adapt btc, they wont entertain it because of the lacking in btc users.