Earlier quoted context omitted.
> If you can get it anonymously, you can move it anywhere you want as long as you stay on the blockchain Q: Is this fundamentally different to having a suitcase full of cash?
It's very hard to take a suitcase full of cash across a border. It's very easy to take a private key for a wallet-account full of cryptocurrency across a border.
Depends on the border.
As long as you declare the cash to the authorities, there are many borders you can cross with great flipping wads of cash. Some industries operate mostly on cash (restaurants, for example), and "suitcases full of cash" isn't just for mobsters and movie villains.