I realize this discussion started with a military-style, rather than civilian, muzzle loader. But the general premise of 3 grooves being superior to 4 grooves is an interesting discussion. I have wondered why civilian gunsmiths decided on different numbers of lands/grooves...always a presumption on my part they somehow thought it provided more accuracy...giving them a leg up on the competition.
In Kentucky, where I research, the fine Bardstown rifles made in the 1810-1835 period by Jacob Rizer and David Weller, always had six groove rifling...unless recut at some later time. Why would some of the finest rifles made in KY have six groove rifling, when all the other Kentucky major markets, such as Lexington and Louisville, used the more traditional seven groove rifling? You hear old stories that rifles are more accurate with a land directly across from a groove, leading to an odd number of grooves. But why would one of the very best makers then decide to use six grooves, when he must have heard those same old stories? It makes identifying their plain guns easier...but there must have been a better reason than "just personal preference" originally. Shelby Gallien