It's doubtful that it would work. The banking system, governments rather not allow the loss of control over money. Unless they release their own cryptocurrency, which they will be able to control. For now, crypto will be an alternative payment method despite the disadvantages of the current monetary system.
I agree with you, in spite of the advantages of the crypto currency, the authorities will do their best to keep the existing state of affairs, having access to the printing press. At the same time, those states that understand the advantages of crypto-currencies will develop more successfully, so this is a matter of time.