Another reason/theory for swamped barrels (as told to me, I can't prove it) was that with the soft iron used for barrels back in the day, the swamping absorbed much of the harmonic vibration caused by the exploding powder and gave much better accuracy than a straight barrel. Any expert input that can explain or refute this would be appreciated.
I'm not an expert but I've paid my dues with long range precision rifles, and learning/understanding what makes them work, and what doesn't work, at that game. I owe much of that education to a good friend and neighbor of mine named Dan Newberry of OCW internet fame who delved into understanding barrel harmonics and figuring out a practical way to address the issue while handloading modern smokeless ammunition. I've used his knowledge and a chronograph to evolve my own process further and can now achieve a fantastic load with very minimal expenditure of components.
There's a ton of myth and misunderstanding all over the 'net about "barrel harmonics". I won't go into all that, because volumes could be written about just the myth and misunderstanding.
The knowledge about it is relatively new in terms of weapons history, and really wouldn't be something that original builders and shooters would have understood, much less actually done something to address it. There was no means then to measure pressure curves, or the need to, to discover "harmonics".
It wasn't necessary to understand. Today we know that the pressure curve of blackpowder is much different than modern smokeless. A muzzleloader's explosion of a BP charge is much more "gentle", for the lack of a better term, and any "harmonics" are hidden in the weight of the muzzleloader, how it's constructed, and how they are shot. The contained (metallic cartidge case) extremely rapid burn of modern smokless is a much faster and sharper pressure curve, and produces a much more noticeable "harmonics" situation. Do note that despite the technical definitions of the two propellants, our perception of their respective internal ballistics are completely opposite their definitions.
Barrel harmonics really only come into play with modern smokeless rifles that use a free floated barrel and a solid platform, ie glass bedded into a quality stock or the use of a CNC machined chassis. It really is only then that a shooter/handloader can see the effects of harmonics on the paper they shoot holes into. And then you also have to understand what you're looking at, actual harmonics or some other hiccup in the system. None of that applies to our primitive weapons, even remotely.
Sure, you could construct a free floated muzzleloader mounted in a solid platform, and with extremely precise and consistent loads, probably measure some slight effect of harmonic vibrations moving up and down the length of the barrel until they dissipate, but even the mental part of that is outside the narrow scope of the original builders/shooters knowledge. And it's way outside the practicality of what we do with our flintlocks and caplocks.