Guns that old don't have to be babied just because the're old. I would replace the springs with standard new ones as they do deteriorate over time. I would also shoot standard factory ammo.
I would also check the accuracy at 10m with a paper target and real careful consistent grip and aiming. From what you say the gun is more than accurate enough. Don't expect the rifling in the barrel to be the same as a rifle, even in in new 1911 the rifling looks shallow. The proof is in the group you produce on the target. And not just one group either, fire about ten and check the average.