how and why (incentive) would you run a node of a distributed database checking that all the country's assets and budget spending is transparent and not tampered with if not with this technology? truly curious about the just a distributed argument
The question is: how do you get a country to record all its transactions in a public ledger? Once you've figured that out, the technology to use for it probably isn't blockchain.
Most of the work that goes into running a Bitcoin node is actually just for burning electricity to find the next block. No real work is being done in proof-of-work.