I think so. If you don't keep your wealth in fiat in a bank, it means that they can't extract fees from you. It means they can't borrow against your fiat and invest it elsewhere, can't use it as collateral or leverage. It means they can't sell more useless services to you, or pray that you suck with managing your accounts and charge you mgmt fees, overdraft fees, ATM fees, etc.
A hell of a lot to fear.
Mark my words, before too long banks will be offering to hold your bitcoin for you (securely of course) and transferring between fiat to btc, and back, with little to no fee as incentive.