It depends on the rifle they will be used in.
ARs have a floating firing pin, so when the bolt slams closed, the firing pin strikes the primer. If the primer cup is too soft the rifle can slam fire.
Remington recommends using the 7 1/2 primers for AR loadings. This is what is loaded into Remington ammunition made for the military.
CCI makes the #41, which is what they load in military ammunition. The #450, Small Rifle Magnum, primer is basically the same as the #41 (same thickness and hardness cup, same type and amount of priming compound), but the #41 has the anvil seated a few thousandths further from the cup. I use CCI #450 for my .223 rounds.
For other rifles, especially bolt action, the primer is not a big factor. ONLY semi autos with a floating firing pin.