I prefer not to use any sort of rest attachment to a rifle's forearm. However, shooters that do will need to shoot with the attachment in place at varying distances and shoot enough groups to verify any POI difference after zeroing from a benchrest using bags, pedestal rest, etc., or bipod from a solid benchrest.
Everyone holds rifles a bit differently with different amounts of pressure here and there and this affects point of impact changes after a rifle has been properly zeroed from a benchrest. No standard answer as to how much, if any difference there will be. Level of skill and consistency of all factors will also affect the POI.
I use a standard original BogPod when hunting. I found when I first practiced using the BogPod point of impact varied somewhat from the benchrested zero. After getting used to the setup, paying close attention to what I was doing, and with a little practice, POI change did not occur.
Best way to answer this question is for the shooter to do some shooting. It's going to be at least slightly different for everyone.