Their rifles were pretty fancy and ours, even in our "Golden Age", would seem crude compared to some of the best makers in Europe. However, only the Nobility could afford one and their rifles were completely restricted to that class. But, accuracy wise, I don't think after reading the limited resources we have at our disposal in this comparison, the European rifle was as accurate as our rifle.
A high ranking British officer, who was a noted marksman, once wrote after the Revolution, "Never in my life have I seen better rifles then those made in America"
Noting a journal written by a German traveler to America in the 1800's and his comments. He brought a double barrel shotgun and traded for a double barrelled rifle but, "Noting the superioity of the American rifle and knowing that a certain Mr. (No name written) had a fancy one I soon procured it and used it exclusively."
I don't know what the term 'Fancy" meant back then or how it was applied in everyday speech.