ADVWannabee
Part of your shift in POI can or might be the two piece stock... I say that because it really depends on where you place the front rest (if you were using a front rest) on the forearm. Because of the 2 piece stock what ever pressure you apply to the forearm pushes directly on the barrel through the barrel lug. The farther out the rest towards the muzzle the pressure is amplified. Why it may not move the barrel that much and it does not take much - it will change the barrel harmonics which shift POI. I try very hard when shooting a break action to get the rest as far back as I can and then each trip to the range I try very hard to be consistent in the placement of the front rest.
Lemoyne was possibly having the same tyoe problem you are discussing (shifting POI) he solved it by making a modification to the forearm to cushion it to the barrel, but I am not sure what he did - might send him a PM...
Of course all of this is a stab in the dark since I was not the shooter or an observer, but when I had Grouse's Vison here I found that i had a simular problem until I became consistant.
Good luck