So since this is basically the "could longbow beat musket?" debate, here's some previous posts on the matter. u/wilymaker compares the relative virtues of the two weapons, and u/PartyMoses looks at the same comparison. I also recommend u/hborrgg's post in that second thread.
But given the phrasing of the question? The late 1700s-early 1800s army. No contest. Why, you ask? Because people keep comparing musket to longbow and somehow, somehow, always forget...
