Over 95% of the US dollar is digital and all of the digital dollars are in the custody of a Bank. When you make a purchase or transfer your US dollars your transaction is tracked and approved by the bank and by extension, the US Government.
Can you consider a transaction that is monitored and approved sound?
I think for a money to be sound you must be able to transact privately with no third party in the transactions.
What do you think?
Bank is centralized. all transactions will be recorded there, and the bank can monitor them. Of course, when we talk about privacy, even when we open a bank account, we are immediately monitored for some data so we can open a bank account, as well as several conditions depending on each bank. And that's mandatory. So, the bank has all that database.
However, we, as laypeople, cannot see or trace the transaction as we please. Only the owner of the account can, either with their own application or through assistance from the bank. For the bank, they can do it, but there are limits to what they have to do, and they cannot immediately trace the transactions carried out. And other parties too, even we as lay people will not be able to ask the bank to track certain transactions because of the bank's policies and obligations to protect the privacy and data of its customers. Unless it is used for certain cases, which already have permission from the competent authorities.
I don't think centralized and private are equivalent. The US dollar is a fiat currency that is centralized but I can use a physical dollar bill to complete a private transaction. If I use a bank in the transaction then it is not private.
If what is meant is what the money was used for, indeed, not everything can be traced. especially if the customer has made a cash withdrawal, then what is recorded at the bank is the cash withdrawal activity. Because if we make a cash withdrawal, there is no requirement to tell us what the money is for. It's better if it's done at an ATM. Unless you directly withdraw large amounts of cash by going directly to the teller or bank, there will usually be little discussion regarding this activity. So, if we have made a cash withdrawal, that's it, we can no longer trace where the money went and what it was used for, because it's cash. Unless the payment is made online using mbanking or something else, it will definitely be tracked.