It’s probably one of the main reasons Britain was successful during both wars.Where in these wars was naval force used for the purpose of shipping large numbers of troops around.
Seven Years War - Britain was able to transport large (comparatively) numbers of troops around North America and the West Indies by sea, something the French were unable to counter effectively. The capture of Louisbourg and Quebec are the main examples, but Britain was able to successfully capture and raid French possessions in the West Indies as well (leading I believe to the treaty trade of Canada for the return of the French sugar islands).
The British were also able to maintain and support large EIC forces in India (unlike the French), capture West African possessions, and even stage raids on the French coasts.
Napoleonic Wars - again, Britain was able to essentially transport troops wherever it wanted. Indeed, early in the war, Pitt (at least I believe it was Pitt), the then PM, had the main strategy of using the RN to transport troops around the world gathering up colonies and possessions. Large forces were easily moved around the world by the RN, to Canada (to counter the US invasion), to the US itself (see Baltimore, Washington and New Orleans), to the West Indies, to Argentina (they tried to capture Buenos Aires), South Africa and Ceylon (captured from the Dutch), India (defeating the Marathas and Mysore), and even in Europe and the Middle East (Portugal, Spain, Denmark, the ill fated Walchern expedition, Egypt). I think the obvious example is the Peninsular campaign where large numbers of troops were transported to, from (post Corunna) and then back to Spain and Portugal and then supported for years.
Now not all of these expeditions were successful, but they were all major movements of troops by sea.