From the website:
To apply for one, you need to make visit a Police and Border Guard office in Estonia – there you need to submit an application and provide biometrical data (your facial image and fingerprints) for background check.
I don't think it works for money laundering in any way.
Shell companies are one of the greatest instruments for graft ever devised. I'm not a fan of them, and they get easier to make with every passing year. I don't have an opinion on cryptocurrencies. I'm sorry if it seemed that way.
I'm curious how you launder money in bitcoin. If you know that some btc was used for a "criminal" exchange, then you can track all the Satoshis through all their recipients. You can just blacklist the money in your country and any retailer using your blacklists would not accept it.
I mean in a bitcoin economy. The only reason that example works is because the input fiat does not have the transparency of a blockchain behind it. If you were end to end using bitcoin, ie, drug dealer gets paid in bitcoin, then if you know its drug money you can blacklist it forever because its always traceable.