Selection of primer brands in usage can be an issue if you are using a military-pattern semi-auto rifle. Most have free-floating firing pins,
and can slam-fire with the more sensitive primers. (Federal and gold Winchester should be avoided for that application).
CCI makes a milspec primer for small and large rifle for just that reason. (different SKU).
I'll use the current CCI 450 (SR), CCI 200 (LR), CCI BR variants and the old pre-2000 Winchester "silver" rifle primers (small and large) for such firearms.
No comment on Remington.
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Primer selection for handguns can be an issue if you have reduced the hammer/striker springs. In that case, you want maximum sensitivity.
For that usage, Federal primers are the best choice.