The British also realized that as long as the Americans would borrow from the Bank of England, and were willing to trade their raw goods to England where they could be processed into industrial goods and then sold back to them, there wasn't much of a need to win the war in the first place -- though they didn't realize this all at once (as evidenced by the War of 1812). It was when the Americans (in the North) got to disrupting this economic situation that things really kicked off that they needed to back the Confederacy in what was effectively America's third revolution. Despite losing that one too, America's economy and politics were impacted enough that it was just a few decades later the British agent and American turncoat Woodrow Wilson was able to bring the former colonies back to heel with the Federal Reserve Act, the 16th Amendment, and entry into WWI as Britain's ally.

It was a nice sovereign republic while it lasted, or so I've read.

The French revolution happened because real wealth was basically left untaxed, leaving an enormous tax burden on everyone that wasn't nobility. The situation was not unlike what Piketty described to win his nobel prize.