But it is important that these fungible cryptocurrencies are as cash-like as possible. So, no global ledger.
Someone was arguing that we should reject a cashless society, and I was making an argument that it is impossible to do at this point.
The only solution is to have a digital currency as close to cash as possible.
Ethereum (on its own) does not meet this requirement. It is perfectly fungible, but still has a global ledger that can be used to track transactions. It is important that people move to standard L2s that don’t have a record of every transaction.
Bitcoin is actually not fungible in the first place. The Lightning network does provide transaction privacy, though.
By “no global ledger” I should have clarified: there might be a need for a global ledger, but it should be missing all consumer transactions.