Letting people in law enforcement, and the banks deputized by the AML enforcement agencies, monitor all private financial interactions, in a warrantless dragnet manner, to make a 1% dent in crime [1], is a terrible trade-off.
NFTs aren't money, by definition (they are literally called non-fungible tokens, and money, by definition, is fungible). From a financial perspective, buying/selling them is no different than buying/selling traditional art work, and thankfully there are no AML/surveillance law requirements to report these types of transactions to the government.
So sorry, there will be no warrantless mass-surveillance/KYC of NFT transactions that unmasks the parties to the transactions.
Seeing as NFTs are in the same space, I can imagine similar regulations will get enforced for NFC market places.
As for the effectiveness of such measures, well, that is another discussion for another time!