To clarify a few things,
1)
Estonia/
Latvia are mainly used for complex offshore setups, funnels to render the origins of the funds harder to locate in case of an investigation. A lot of the banks there will never take risks with small players but will break a lot of laws to protect wealthy clients because the risk is worth it to them. They pretend to want compliance but pull up with fat stacks and they'll look the other way. Once a first base is established in the baltics, the funds are then funneled to the main hubs, aka the UK/Switzerland/Austria/Hungary/UAE for
investment purposes, mainly real estate.
A LOT of the the russian money there (90%+) is from illegal sources, mainly the proceeds of corruption, tax fraud and other criminal activities, which is why there is a need for money laundering to begin with. The mob is present in those countries but is much smaller than other groups of russians because to access these hubs you need solid contacts and bribery is a lot more difficult.
2) Lithuania is used for fraud and only fraud, the government there is easy to work with and officials can be bribed a lot more easily than other baltic nations. They have banks that don't ask many questions and it's the perfect jurisdiction to invest in ventures that enable money laundering, like opening sketchy EMIs and other laundromat platforms. I never saw russian money that transited through there that was legitimate to begin with. This jurisdiction is mostly used by the mob because it's harder for them to go elsewhere, other groups of russians (Oligarchs, corrupt families, industry magnates, celebrities) tend to avoid it because they can access other hubs like Estonia/Latvia if they want to move dirty funds, they have the contacts that the mob doesn't have.
The money that transits straight from Russia to the UK/Switzerland/Etc is usually clean money that's already taxed and declared, but moved abroad because of distrust towards the banking system and also to protect the individuals that fear they could get on the bad side of the government one day. In Russia, the government can freeze your assets and take everything from you if they see you as a potential threat to them, so politicians, oligarchs, etc move assets abroad as long as they are taxed and declared with the russian government. If one day s**t hits the fan, the person can leave the country and move on with their life using their economic
citizenship elsewhere instead of losing everything.