The AML you are thinking of is designed to catch small time crooks and drug mules (and maybe also dumb terrorist supporters). They are not really designed (or more specifically deliberately obtuse towards) Slavic oligarch money. Not all "corruption" and money laundering are treated equally. Places like London (not to mention Jersey), Switzerland, and Singapore are more for good old fashioned siphoning-of-national-assets type of corruption where there's almost always a "clean" paper trail to back things up. Also, don't get tax dodging mixed with money laundering. There are plenty of processes required by OECD and similar orgs, e.g. the concepts of a LEI number, that are not really useful against real oligarch/state level money launderers.

Here's a simple example: You lived in a former USSR/iron curtain state. During the chaos of '89 you managed to "acquire" lots of assets or finagle yourself into owning former public companies/real estate/factories. The paper trail is clean as far as your typical London banks are concerned because you are merely liquidating assets you own in your own country where there's a full paper trail (regardless of whether it was attained through illegitimate means). Alternatively, in a different narrative, you a rich international student from similar types of countries and you just happened to have "rich parents" who have plenty of money to throw around. It's a very different threat model than for example trying to prevent grassroots terrorism financing.

Money laundering vs tax evasion have a lot of overlap but don't get them confused. They are very different threat models from the perspective of the service provider (and it's also why many smaller foreign banks refuse to accept Americans as customers, partially because of the paperwork required to stay compliant with Uncle Sam).

If you want an actual no-questions-asked romp of organized crime type of money I believe the current main contenders are the middle eastern states like Dubai (pre Iranian conflict at least).

Rumor through the financial grapevine is that ironically there are many GCC middle eastern royalty/pseudo-royalty currently under house arrest who are trying to do the opposite i.e. get their assets out of the country because their main bank accounts are frozen domestically. So basically real life Nigerian princes.

(As for why they are under house arrest, it's kinda out of scope for HN but mostly because of domestic political purges, especially in Saudi Arabia from what I heard)

The references are almost irrelevant. The banks + fintechs have far more depth than that.