Richmond,
well, I suppose it depends on how far you see the AWI as a different period. Evidently the Brown Bess musket, the manual exercise or platoon firing were all pretty similar. The real differences concerned the peculiarities of the American fighting environment - a factor that led some Brit officers of a conservative cast to cast doubt on utiility of applying the lessons of the AWI to the Army more widely. Much of this refined itself down to factors like: using extended firing lines or 'loose files'; the absence of cavalry as a shock arm in the AWI; the skill at arms of the backwoodsmen.
I'll keep you all posted, in any case.
regards
EC