Yes but this mimics how real-life possession works, at least for low-value assets. If I go to a pawnshop with a watch, they're going to treat me as the real owner unless they have a reason not to - even if I actually stole the watch.
Your local pawn shop is also aware that possession of stolen property is a crime, and in some jurisdictions, a second degree felony. During every transaction, pawn shops will ask for a government-issued photo ID for recordkeeping purposes for the very reason you mention: the possibility of acting as a mechanism for the fencing/laundering stolen goods. Social media and blockchain make it exceedingly simple for an owner to announce their digital asset was stolen/fraudulently transferred, so ignorance is unable to be used as a defense.
