There should be a flaming bomb proof on the very tip of the stock where the barrel peeks out. SOME (but not all) makers also stamped a letter in the dish cut for the bolt stop.

The rest of the "proofs" you are looking for were added by the armorers when they fit a stock to the rifle, gauged that fit to be correct, and then test fired the assembled arm. un-fitted replacement stocks would not have those assembly and firing proofs (ahead of the trigger guard, P at the stock wrist, factory/armory ID stamp and the ordnance wheel).

It's likely real.