From that perspective, the Declaration of Independence was not persuasive.
George III was a constitutional monarch. America's fight was with the British government, which had a prime minister who made the big decisions with his cabinet, as he does now. The monarch advised but didn't define policy.
As a British person, I totally understand why the American people wanted to be free and think they were entirely justified to want their own country. But the argument of escape from tyranny is nonsense. The colonies were quite reasonably throwing off a distant British government in favour of a local American one. The British never fully understood the American colonists and their motivations. But the colonists were always fighting against a parliamentary democracy in favour of what would become the republic of the United States. George wasn't the heart of the colonists' problem. The UK parliament and government was. Even if they didn't understand the British constitution.
It would be like Putin saying he's at war with Elizabeth II. Boris is the PM.