Your point of impact when changing primers shouldn't move a whole lot, though I've found that it can make some difference. I have noticed differences in accuracy/group sizes with different primers, though. I know some people don't notice a difference, but I do with my rifle- I get noticeably better accuracy with Triple Seven primers than with either Remington Kleebores or Federal 209's, and less crud ring (with T7 powder).
The only way to know for sure with your rifle is to get out to the range and try them out. But if you don't have time to do it, you should be okay switching primers and still be "minute of deer", as long as you're not shooting at extreme distances.
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