The problem is that many of those accurate museum reproductions are horribly misused. In one sequence the militia ambushes a British column in the rain. Another scene depicts soldiers lined up for a firefight at night. The musket flashes make for a pretty sound and light show, but armies didn't line up for a pretty killing at night. Finding one's way in daylight was difficult enough.
Several scenes show the occasional British grenadier mixed in with hat companies.
This is another example of nice, accurate museum pieces scattered around at random. Grenadiers not only formed a separate flank company, but they were usually detached from their parent regiment and grouped with others into a provisional grenadier battalion which was more or less a permanent unit for a campaign. In reality, a cluster of British soldiers would have sacrificed their lives to keep it aloft and out of American hands, and the Americans would have fought just as hard to capture it. Capturing enemy Colours was the greatest battlefield prize and generated the most incredible heroics. Another museum piece abused.