I think we're mixing terminology. There's a difference between distributed and decentralized.
You can have a distributed blockchain, while still being controlled by a central authority (i.e. not decentralized). That's pretty much Ripple, and it still has many of the advantages of blockchain technology: distributed/quick settlement, highly secure, highly available, etc...
It would be actually possible to use a government's money in various new ways. Think of what could happen in the economy if the government provided flexible and free payment services.
(Which is exactly why they'll never do it, but just pointing out that a government-controlled blockchain for normal people would have a LOT of applications)
Actually my government already has rules on that. Using my debetcard at a store, withdrawing money from an ATM or transferring money between bankaccounts is free.
There's literally no reason to use it at that point, just make a simple db of account numbers and balances.