Yep often diff ammo or components will change POI - some more dramatically than others.
Personally I generally find a combo that the rifle likes then stick to that for everything. However I do play with a few diff combos with the 204 (still haven't tested one combo on paper) so have no idea what its doing there but have used it on fur and its been smashing em up well and truly, so I guess the POI hasn't changed too much?
Generally though as I said earlier I just find something the rifle likes and stick to it (and stock up on all reloading components for it) or factory ammo if that's working for you.