State cryptocurrency is when paper money seems much more anonymous. As always the state benefits from this unilaterally. But in any case the currency will completely switch to digital, so you can forget about anonymity.
You're about the anonymity situation but I don't think the government will totally switch to digital currency and what I learned about the national digital currency is that the government issue it to seize the small tx fee and almost instant transaction with other benefit crypto offered.
After announcement of the creation of own national cryptocurrency made by the Chinese government another country (Turkey) also joined the race of creating their own national digital currency name Lira, which was the first basic monetary unit used by Italian and Turkey before the introduction of Euro in the year 2002.
SourceI believe the reason why country are planning their own national crypto was because the IMF boss advised and the question is will more countries also creating their own national cryptocurrency?
Of course more and more countries will be creating their own crypto currency till the entire market becomes polarized and at that point it might be a demon that will be difficult to manage because since its going to be fully digital and in the hands of government, I am not sure they would be willing to create a cap for it and also because the cost of creating more wouldn't be as much as we have it today which is one of the reasons why government does not just go ahead and produce paper currency, they might just be creating more to solve short term problem to create a long term one which is my fear. Also, the polarization and the independence we would see would make international exchange difficult and wouldn't be much different than we have it currently.
The entire market won't be polarize cause the government will still issue fiat currency but it might not be as before the creation of their digital coin and in other to avoid more economic break down, their digital currency will definitely have cap but there's chance that they won't realize it to the public.