Although Arthur did not have a good impression of the extremely Tory Duke of Cumberland, if judged solely by his military achievements, the Duke of Cumberland's performance in the army was indeed heroic. In the Battle of Tournai in 1794, he led a cavalry charge as the commander and was wounded in the head during a clash with the French cavalry.
After recovering from his injury, he immediately returned to the cavalry service and participated in a series of operations against Napoleon.
The Duke of Cumberland's performance in the cavalry once earned him the position of Cavalry Director, while the Duke of Cambridge, who had long commanded the Hanoverian army, naturally became the Governor of Hanover responsible for overseeing the Kingdom of Hanover.
It's worth noting that the Duke of Sussex, the Duke of Cumberland, and the Duke of Cambridge were all alumni of the University of Göttingen.