I have only fired low velocity cast bullets in it. Possibly if I fired full power jacketed loads it would shoot center.
The blade on my carbine is not offset like the Enfield's however I followed Patricks instructions and when a ruler is placed along side the barrel on both sides, you can see that the sight block is canted to the left or set further left on the barrel. That would cause the sight to aim more to the left with the bore to the right. Now the question is, was the bbl overtightened or was it purposely made that way.
If your carbine is an original barreled early Berthier. Could you bore sight it to see if your bore points to the right of the front sight, Ray