First off, the presence of runout does not concern me in the least, I understand not having it left or right, just up or down. To me pointing the bore up making more sense. Anyways, here are some pictures.
Nothing calipered yet, just eyeballed. Muzzle end the bore looks dead centered.
My thumb is on the flat with the Douglas stamping, which convention says to make the bottom flat when installed.
Next is the breach end, again, my thumb on the flat with the stamping. Tapped hole for breach plug looks dead center, bore down inside obviously not.
Wall thickness on the flat where my thumb is seems to be the widest from bore to outer flat and conversely the opposite side seems to be the thinnest. So, if the stamped flat, the one my thumb is on is the bottom flat installed, Then that would mean the bore is higher at the breach than at the muzzle, so the runout is vertically oriented, in this case to shoot low. This then needing a shorter front and higher rear sight. (Assuming bore inside the barrel is straight from end to end and visually it looks to be. Not even sure how variations in there could be measured anyway.)
In my mind, installing just the opposite, placing the stamped flat on top (the flat my thumb is on, where the wall is the thickest) would make the breach end of the bore lower than the muzzle end, which is what you always need to lob a bullet out toward a target. If too much, there is a limit to how low the rear sight could go, but a taller front sight could bring the point of impact at the desired range down if needed.
So the questions are, with a barrel with runout like this, a) am I understanding the up/down correctly and b)would you install to launch the bullet upward? (Stamped flat where the wall is thickest on top?)