A falsely accused person would be unable to purchase groceries using their own Bitcoin, would be denied transportation, would not be allowed to exchange Bitcoin for other Cryptocurrencies or even Fiat by their own will, would not be able to pay their Taxes.
At first glance, it is an innocent measure supposedly meant to 'protect'. Even if 'nothing bad can happen' as in a falsely accused person would not become under arrest and the shops, Services and institutions would not need to hand out any of their information to the Authorities, them being denied Service would significantly lower their quality of living.
That environment sounds like it would incentivize accused criminals to face their accusers in court. What's wrong with that?
And mixer's receiving address is merely another peer in the network, no? Centralized mixers, like centralized exchanges, are merely providing a service for the community.
That's my exact point:
A "mixing site" is just someone else's wallet. Unlike exchanges or casinos, a "mixing site" is not a service since there is no underlying purpose for the site's existence.