>>64353164
While everyone else already noted the important notes about logistics, cost, training, etc, there was a short time where the English especially were trying to capitalize on the idea of national identity within the longbow to help carry a combined arms known as the "double arm'd man" With the thought specifically towards colonial logistics. In theory, Bose could be maintained and arrows could be produced with less overseas logistics than powder and gunsmithy. This went as far as to send longbows along to Virginia during the Virginia companies establishment of Jamestown.
That said, in 1622 the governor of Virginia had all of those longbows sent for storage in Bermuda, because the Powhatan natives were insanely good archers, and there was a legitimate fear of them being able to reverse engineer English bowyering. Muskets were less reliable, and required greater overseas infrastructure to provide the powder and shot, but there was also no way that the natives would be able to supply themselves with captured weapons.