There have been some good comments to your legitimate question. No one can give you a hard and fast "go no go" rule. However, it is only logical that a honed bore is theoretically weaker than one that is original and has a few pits. The real question for you to answer is how deep are they and where are they. If they're deep and near the chamber it is something to be concerned about, especially if the barrel walls are a bit thin. If they're way up towards the muzzle it's usually not much of a risk. Strongly suggest you have a good double gun specialist give it a close examination.
