Yes but the key difference is with cryptocurrency the person that owns the wallet still has to sign the transaction, there is no other way. It's a push model instead of pull. Compare this to traditional banking where a 3rd party (the bank) can aquiesce to a government request without your knowledge or approval.
Enforcing illegal torrents failed. I think a cryptocurrency ban would be similar. Also, the US made it illegal to hold gold between 1933 and 1974 but almost nobody turned in gold to the feds. https://en.m.wikipedia.org/wiki/Executive_Order_6102
Both are essentially electronic systems of information on a computing system, a format and a protocol of communication through the internet. In terms of technical difficulty to enforce them it would be very similar.
I'm pretty sure that "They" was meant to refer to the Government. The Government could most certainly pass laws (or enforce existing laws) that put people in jail for accepting stolen or "dirty" coins. (Just like the Government could pass a law or re-interpret existing laws to make making owning bitcoins illegal.)
I feel confident that any major state actor could completely disrupt the bitcoin market. In traditional banking the government wants to maintain the value of its fiat currency. But the government doesn't care one iota about the value of Bitcoin except potentially for its own nefarious purposes.
This is assuming that Bitcoin wasn't invented by a government in the first place. Cryptos have a strong benefit to central authority in that they are simple to track flows of money, it's impossible to play a shell game if you can check the block chain. It becomes very easy to check the full transaction history of someone if you find out their addresses. Here is an NSA paper on cryptocurrency that came out in 1996
https://groups.csail.mit.edu/mac/classes/6.805/articles/mone...