Not even. Everything except Monero makes money-laundering analysis trivially easy.

Ironically I gave an interview to VICE News about exactly this during the Mueller investigation and they had to cut my Monero comments out for time.

ok so to restate.

proof of work blockchain use case:

you want to invent a money transfer system that will attract criminals to use it, and they will think it is anonymous, but its not really anonymous.

Money laundering is one. What about ransomware? What about malware mining cryptocurrencies? Also I think North Korea is using cryptocurrencies to get money out of cyberattacks.

It does not feel like all this is prevented by trivial analysis, is it?

If the funds are sent to mixers?

I would bet the FBI operates and controls a non-zero amount of mixing services.