They may look a lot alike but they're just different bullets. If you treat them as such you might be able to tweak the A/bonds with either a different charge weight or o/all length to shoot as well and possibly the same POI.
I had the same sort of problem with my lightweight 30/06 but it was the B/tips that were poorer shooters and the POI was about 2" laterally and 1" vertically different.
I've been loading 25-06 115gr Partitions w/ 52.5gr H4831 with great accuracy. So I figured the 110gr ABs would need more powder. I loaded em 50gr, 51, 52 and 53. To my surprise, my starting load did very good, followed closely by 52gr. All my Noslers are 10 thousands off the lands.