Appeal to authority, subverted by previous postings of documentation re sovereignty issues.
Furthermore, the Confederate government was recognized by the authorities that counted: The People of the Southern States.
Extrapolating from your argument, the United States was sovereign only because its People(s) were recognized by France and the Netherlands, and not by virtue of any natural right of their own.
According to you, their sovereignty and their rights meant squat until foreign governments lined up to welcome them to The Club. Including, eventually, George III's government.
Somehow, I think Madison, Hamilton, Jay, Franklin, and the rest of the Framers would have disagreed with you about that. What ever happened to Nature, and Nature's God?
Uyup. Uh-huh.
I don't know about squat. You can secede if you want to. Set up your own sovereign state in your bathroom. Design a flag, write a constitution, set up a government, claim your borders, and proclaim yourself King Gracchus the First, lord of all you survey. Make sure you tell all the other countries about your change in status and your elevation to nobility. But until some of them start bowing and calling you 'Your Majesty' then you aren't King Gracchus the First. You're just some nut with a flag and a country in his bathroom.
Somehow, I think Madison, Hamilton, Jay, Franklin, and the rest of the Framers would have disagreed with you about that. What ever happened to Nature, and Nature's God?
Among the first acts of Adams and Hancock and Franklin was to appeal to European countries to recognize their independence from Great Britain and their status as a sovereign nation in their own right. They understood the importance of other countries recognizing them even if you are not.
So if I declare myself to be my own country, does that make it so?