My understanding about those dollars is, they are all later restrikes made after 1836. The rim design is supposed to be the key. They more closely resemble the later dollars rather than the early ones. Also, the 19,000 coins reportedly minted in 1804 might have been dated 1803. This is the first I've heard about them being ship overseas. I would think there would be a detailed record of that, if true.
& Sadly even if True. If they are in China Vaults,
or Ground. They will be declared Counterfeit
on China's Reputation alone
If they sank however, The Vessel needs to be Found
of course Value each would probably Drop Drastically .
“There is no authentic history of the 1804 dollar. Tradition, however, is ‘thousand-tongued’ in its regard. The writer of this was told by an old bank cashier in Salem, Mass., at one time the most extensive tea-importing place on the continent, that the scarcity of the 1804 dollar was owing to the sinking of a China-bound vessel having on board almost the entire mintage of 1804 dollars, shipped in lieu of ‘Spanish milled dollars,’ instrinsically more valuable.