For fiat currency, there's usually a court system that can be used to determine ownership. Though often they explicitly exclude cash from that - if somebody legitimately acquires bank notes that were previously stolen, they can keep them and they are valid as legal tender.
For cryptocurrency, which jursidiction's justice system is going to determine whether something has a "stolen" marker or not? What if that's not recognised by a different jurisdiction, or someone else comes to the opposite conclusion?
It's the same decision process as the normal justice system. Broadly speaking, you can analyze it as follows (for civil complaints):
1. Is there a clause in the contract that says "disputes follow XYZ jurisdiction"? Then that's the jurisdiction. (And adding such a clause is Contracts 101 material).
2. If not, then you can usually get jurisdiction based on where the offense actually happened, or where the defendant lives. The analysis can get complicated, but it's not going to meaningfully change for cryptocurrency.
3. There's also a potential for extraterritorial jurisdiction in some cases.
> What if that's not recognised by a different jurisdiction, or someone else comes to the opposite conclusion?
Well, jurisdiction really comes down to a) can you get a court to agree that it has jurisdiction, and b) can you get other people to agree to the court's orders for relief.
Your decision process might work for you, but it's not meaningful for establishing consensus in a cryptocurrency.