Tootall - no, the age of Damascus was largely the age of black powder. Barrels that were not meticulously cleaned in a prompt fashion were prone to pitting, both major and minor. If the bores of your gun are that clean, it is likely that they have been honed. This is a common practice, as the British proof house will not submit pitted barrels for re-proof.
As for their smoothness after original manufacture, it would depend on the state of the mandrel and the skill of the craftsmen, but I don't think they would be any better than honed and polished fluid steel.
Sharptail