Anning's proposal was, of course, passed.
As for the United States' opinion, who cares about them? They are nothing significant now. In another twenty years, the UK can still wrestle with Napoleon's France while blocking the United States' attack on Canada. Once France is gone, the British will immediately march to Washington and burn down the White House.
Therefore, while the first Anti-France Alliance has just been destroyed and the Royal Navy does not intercept communication between France and the American Continent, it suffices to find a ship to throw Louis Capet onto the American continent.
After all, the former Your Majesty is an excellent locksmith, and without the encumbrance of Queen Mary, he should be able to fend for himself, right?
Moreover, it's almost the 19th century, the century of scientific discoveries, where inventors are highly valued. Perhaps Mr. Louis Capet could even become an inventor with his skillful hands and ingenuity.