Why spend money and other resources on curbing a problem when we can eradicate it once and for all. One of the main reason for the development of the blockchain technology and cryptocurrencies is to solve issues with fiat currencies. Counterfeiting is one of the problems which is also causing huge debts to most countries in Africa and other parts of the world. It's high time we move into the future and use our cryptocurrencies in our day to day transactions this is a more secured and faster way of making transactions.
This is a pretty accurate post, most advanced governments are already making moves to turn their society into a cash-less one, where having issues like these (counterfeit cash) would be something of the past. It's way harder to fake online money, then physical cash. We can already see developments made in the field now - for example, where I live, in the past 5 years there has been a huge increase in card and "tap and go" payment systems. A lot of cash businesses in our area were forced to be able to accept card, or they would go out of business - it's not their product that's the problem, it's that no one carries cash anymore, it's way too inconvenient compared to using your phone or card.
Actually we are heading towards a banknote free economy. The fiat transactions are being held mostly online and if we be able to turn the current fiat to work under blockchain, there would be zero counterfeit fiat currency. Not only that, there would be much lesser tax evasion and money laundering as it would be easy to track the money. Though it may risk the financial privacy of individual, we are moving towards regulated and non-regulated cryptocurrencies.
This depends a lot on the governments, we've already seen a lot of progress from mainstream companies like Facebook and countries like China look to work with fiat and crypto side by side, and try bring a lot more regulation to crypto. 
