The most influential statement of your proposal is Hayek's article "Choice in Currency: A Way To Stop Inflation"[1] which he later expanded on in "Denationalisation of Money".
Hayek's views have an admirable internal consistency, but his political premises are contrary to the core values of almost every pre-industrial society, and of the social democratic tradition in Europe which has been internationally influential.
Very few people understand the full scope of Hayek's political vision, which is premised on a thoroughgoing skepticism toward the very possibility of rational democratic deliberation. If they fully understood his proposal's implications, I doubt they'd support them; but certainly there are some who are willing to fully own their anti-democratic implications.
1: https://iea.org.uk/publications/research/choice-in-currency-...
Standardizing behavior across regulatory boundaries means that crypto "just works" to send value from one country to another, without needing cross-border intermediary companies that support your specific country pair to convert things between currencies/systems.
The stateless unit of account part is perhaps more interesting to me, though. Before crypto, there were no digital representations of value independent from state. No country has the power to hyperinflate crypto, and there doesn't seem to be a clear path to be able to accomplish a unit of account like that through traditional political means. The closest thing we have to that is the Euro, but it doesn't tick all the boxes.
Is a stateless unit of account good, or better than traditional government currencies? I'm honestly not sure. It does have some drawbacks in terms of the ability to use monetary policy to loosen and tighten markets. But it's an interesting enough concept that I would say it's worth it to "bother" with blockchain consensus technology.