When I was a kid, and the books I was reading showed cartoon pilgrims carrying blunderbusses, I assumed that the flare was there to expand the shot pattern.
To the ignorant mind, the theory of curved impetus just seems natural. It just seems natural that a ball, launched down a spiral tube, would take path A after exiting the tube.
Impetus theory was around for a long time, a number of famous people believed it, because, it was so intuitive. A ball going in a circle will continue going in a circle. Right?
https://en.wikipedia.org/wiki/Theory_of_impetus
http://www.vanderbilt.edu/AnS/physics/astrocourses/ast203/impetus_theory.html
It was not until years later that I learned Newtonian physics which of course, gave the reason why the ball would follow path B on exiting the tube. The Pilgrims landed in Massachusetts in 1620 and Newton was born in 1640, so if the Pilgrims carried Blunderbusses, it is unlikely that anyone would have questioned impetus theory based on Newtonian physics.
So, I am of the opinion that the shooting community then, followed intuitive beliefs, and that was incorporated into the design of the blunderbuss. A flared muzzle would appear very imposing if it was pointed at you, more imposing than a straight cylinder, and as stated earlier, it would be easy to load. A blunderbuss met expectations and followed the nonsense theories of the age.
We of course are so much smarter, which is why the shooting community believes that Ackley improved cartridges reduce bolt thrust, because they are straight. Tapered cases look like wedges, and wedges split things, so a tapered case must therefore create bolt thrust. Removing that taper also must remove the bolt thrust, because the case is less wedge like, and this is all so intuitive. P.O. Ackley made a career claiming this, had a whole line of cartridges named after him in fact. Gunwriters for the last 70 years have been promoting this, and it is total nonsense. It is an intuitive belief that does not work in actual practice because cartridges are thin brass tubes, not solid wedges. They are also not designed to carry any load. Whenever there is friction between the case and chamber that tube stretches, and stressing a brass case to take load off steel bolt lugs is a very stupid idea. Whatever "tests" that P.O. Ackley ran are pseudo science nonsense, but accepted non critically by the shooting community.
So, regardless of the nonsense theories about impetus theory and a flared muzzle creating a more lethal weapon, we are not so different from cartoon Pilgrims in our understanding of physics.