Like what?
It can be true that a pragmatic relationship with "dirty money" has played a role in making London as desirable as it's today, but that would be a success story rather than a negative side effect as you suggest.
And if your henchmen can't get toys and flats for themselves and their kids then you may be left without any henchmen. If really no bad money was accepted in the west then dictators' houses of cards fall apart quickly.
Dirty bad evil russian money was invested into wine, driving up prices?