The only reasons why I am using this badly pitted barrel is because the bore is excellent and it is a hard to find part. Although the exterior is rough and looks ancient, the bore is in suprisingly good condition with bright and shiney Metford rifling. There is some pitting at the muzzle of about 1/4 inch down the bore. If this effects its shootability, it can easily be counterbored. Other than that, the barrel should make a good shooter and is ready to go on the receiver.
The outside has pitting right along the woodline, some of it quite deep. I am not too worried about loss of strength, the barrel is very thick walled.
But I do agree that they don't help the integrity of the barrel, they could be stress risers and cause problems one day if the rust was left active. I just cleaned the barrel in my electrolysis tank so now there is zero rust on the parent metal, even the pitts are clean of rust.
I would leave things be, I usualy do, but this barrel is going into a functional restoration of a not too common Lee Metford eight shot rifle, so it would be nice to make it pretty too, but functionality comes first.
If I wanted to spend the time and effort, I could remove the pocks that are visible just above the woodline by using a draw file, hand polishing and then using the appropriate grit papers with the right touch to produce something close to original finish. I would not take them all out, but the big pits would become little pits and the little pits would be gone. This would make it look 100% better yet not make any dimensional changes to the fit of the barrel in the barrel channel.
But for now I will just gently blast it with fine sand to make the pits less noticeable and then finish it with a slow rust blue. I'll get it mounted into the receiver and get the rifle complete and assembled so I can see how it shoots before I decide if and how I am to refinish the barrel and the rest of the rifle.
I must confess that pits, knocks and dings in an old rifle don't really bother me as long as it is clean and in good repair. An old gun is allowed to look old. That is how I usualy do a restoration, remove signs of abuse and years of neglect yet make the rifle look to have overall honest wear for its age.