Now that you mentioned it, I'm actually wondering now if there could at least be some statute of limitations applicable for some things even for immutable records on a blockchain assumed to remain there in perpetuity. At least in the manner of financial compliance, records in most countries are kept only for a period of 7 years, and then can safely be destroyed, precisely because of these statutes. I'm sure of course if you used those funds for certain crimes, you wouldn't escape any pursuit of justice although you'd probably be okay from people trying to pin you down as criminal associates just because you received coins from or your coins were tainted by some unsavoury activity.
This might be because many users had little understanding about bitcoin and blockchains before maybe 2016. They thought bitcoin was this anonymous and fast digital currency hehe. However, what would happen when criminals begin to use Monero.