Perhaps given the context you are using, you could replace the word "ownership" in the original post with poesession. The state can grant legal ownership over some bitcoin, but proving that you don't posess coins which the state claims you no longer own and must forfeit would still be impossible.

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It's a valid point, thanks.

Lawyers are trained to differentiate between ownership and possession. The former is a legal (abstract) concept, while the latter is a matter of facts in the real world. Possession can be lawful (when the possessor is also the owner) or unlawful (when a the possessor is a thief). Generally, applying this concept to bitcoin should be easy.

Once again, proving that you are the "legal owner" of a UTXO is primarily a procedural issue. In principle, it's not fundamentally different from proving ownership of a physical item, although it presents different practical challenges.