Not in practice. Would you trade a clean bitcoin for a bitcoin stolen by North Korean hackers? Knowing chances are big you might get your coin sized. If you take that trade you are not bright.
As long as this information balance exists, they are worth equal value
This brings to my mind: Chainalysis or the exchanges Co should offer such service like "bitcoin cleanyness lookup" or similar :-) (maybe some do already and Im not aware of...)
But the thing is: These service work wallet-based.