This is true of US dollars too, it's just a matter of scale.
US dollars are certainly worth less if they have a shady transaction history. That's why money laundering exists - I will pay you $100,000 in dirty money if you give me $95,000 in clean money.
Also, US dollars are non-fungible in a collectibles sense because certain id numbers on bills are valuable, older years are valuable (and condition matters). With coins there's a lot more, too - misprints and the like.
So I reject your idea. Either they are both fungible, or neither are.
US dollars are certainly worth less if they have a shady transaction history. That's why money laundering exists - I will pay you $100,000 in dirty money if you give me $95,000 in clean money.
Also, US dollars are non-fungible in a collectibles sense because certain id numbers on bills are valuable, older years are valuable (and condition matters). With coins there's a lot more, too - misprints and the like.
So I reject your idea. Either they are both fungible, or neither are.