Personally I think it would be sad purely for cultural reasons to completely move away from physical currency, but I think if there were some verifiably anonymous way to make transactions digitally I'd probably be okay with it.
I'm sure there would still be some state issued physical currency which you could trade or deposit at a bank if people wanted to some for the novelty of it. For me, like most people, the primary concern is the power it gives the state. It seems clear society will continue to move away from using cash, regardless of what the state mandates. In the UK there are already plenty of retailers who won't accept cash payments. So I think whether we like it or not, we probably need to be proactive to ensure the inevitable move towards cashless is done in a way that protects our freedoms.