If you take a round modern made barrel blank and make one side octagon it will bend.
It WILL bend.
If that troubles you, do not do it.
The reason it will bend is that modern muzzle loading barrels are all made of nice cold drawn round bar. The bar, whatever the grade, will have residual stresses in it. I think they are tensile near the outside, balanced by compressive at the bar interior, but I would bow to the knowledge of a steel mill bar guy on this.
Anyway if you take off more metal from one side than the other, you unbalance these stresses and the bar will bend to get them in balance again.
Honest.
All bar is full of residual stresses, if nothing else, from the straightening operation.
Only bar for MODERN barrel making would, or should, be sold thoroughly stress relieved.
This is a detail which may not be of concern to the 12L14 set.
So I am a metallurgist and I know this sort of stuff, OK?
Nevertheless the first time I filed a swamped octagonal (miniature) rifle barrel of some cold-drawn round steel tube the end suddenly bent on me.
Aaagh.
Ever hear of the shoemaker's children?
Anyway no big deal, I wasn't planning on target shooting with elves so I heated the end with a torch to just barely glowing, let it cool, hammered it straight and problem solved.
Solved for me, but this approach won't work on a full size barrel from which you might expect some degree of accuracy.
Harpers Ferry barrels were hot forged (forge welded and forged to rough blank shape) and then annealed. There would have been very low, if any, residual stresses in that barrel blank.