Do you think that such a coin would be of interest to any government?
To any "government"? Very funny. No, of course not.
However, there are people who work for the government who actually have connections to communities and rely upon paychecks. They might see the value of a digital serial number on every dollar.
Exactly. They might see something good in a trackable currency. But they're not the government
This is never going to work. It's a bit like asking for a centralized Bitcoin 