So you are using different 30-06 dies? What effect does the base have, and why choose it for each rifle? I do not know the answer, and wonder if you do either?
I use the same 30-06 die for my pump and bolt rifles. I have used neck sized brass from bolt in pump, and it worked just fine for 100 yards. Though my normal loads for the pump are full sized. My bolts neck and full.
Maybe you are getting better results than me. So far I am only 1 MOA. But I think I can do better, but yet to prove it.