Provided that the exchanges are cooperating (voluntarily or by law).
Why do you think NK and other "impenetrable" countries are so fond of it? It provides them with the means to monetize something otherwise pretty useless: their relative independence and the resulting potential for secrecy.
They are turning into new-age Swiss banks, keeping anyone's private ledgers private. For a hefty sum.
And one does not need a strong currency to achieve that: other cryptocurrencies are also perfectly usable.