If gold coins magically broadcasted the identity of their owners to everyone in the world they would have never even been adopted as money. It may be extrinsic as a physical characteristic, but its an intrinsic quality of its role as money.
Blockchains no more broadcast the "identity" of a keyholder than gold does.
I know it's an obsessive propaganda point for worshippers of obscured blockchains to convince people that they do, but they don't.
No identity information whatsoever is to be found on chain. It has to be gleaned off-chain and even then the relationship between "owner" and "holder" is ambiguous. Granted, one can use patterns in the blockchain to augment off-chain information I have. For example, if I know you paid me from a certain address I can detect various addresses connected to that one. But that is as it should be and it doesn't mean you have to bury the entire blockchain because of some de-anonymisation paranoia since I still have no idea what the nature of those connections is. I have to glean everything I know from off-chain information.
Then, if I only make one transaction to another address, I've completely de-linked those funds as far that off-chain domain goes (which is where all the identity information is).
The folly of this design (as far as unbacked money goes) is to map the priorities of a banking model based on credit directly onto a blockchain, since in the credit model all the identity information IS stored "on chain". You then have to ditch a whole load of very valuable monetary properties just to support that one when in fact there are plenty of other approaches to mitigating even the address linkeage patterns on the blockchain itself.
As evidence of this look at bitcoin. It is 7 years old. That is a long time. It doesn't have any augmented fungibility features whatsoever and yet it remains largely anonymous. Block analysis techniques are improving sure, but they still only rely on OFF CHAIN information which gets more ambiguous every time any transaction is made. It isn't difficult therefore to conclude that a much more optimal approach to maintaining value and confidence is to keep the blockchain transparent AND anonymous at the same time using augmented fungibility techniques.