WI: No King George III?

How might things have deviated if the United Kingdom had been ruled by someone else besides George III? Were there any other possible claimants, and would this have greatly effected the American Revolution and other conflicts the UK took part in?
 
How might things have deviated if the United Kingdom had been ruled by someone else besides George III? Were there any other possible claimants, and would this have greatly effected the American Revolution and other conflicts the UK took part in?

The only other candidates I can think of were George II's sons - Frederick, Prince of Wales (George III's father - the people loved him), and William, Duke of Cumberland (nobody liked him, apart from his parents).
 
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