OK, I will give my usual answer. In many years of reloading quite a few different calibres of rifle and pistol, I have never detected a single bit of difference in pressure, whether the primer was a magnum or a standard.
I have the results of an extensive lab test done on primers. They tested every kind of primer, not only just for strength, or fire power, but tested it using differnt strengths of the firing pin hitting the primer.
The bottom line from the tests was there was more difference in primer fire power, or strength, from the difference in striking power of the firing pin, than there was from different primers.
In short, a magnum with weak firing pin gave less power than a standard primer with a strong firing pin.
Much is made of igniting the powder in colder weather.
I grew up in an area and at a time where all homesteaders hunted big game year around. They hunted in the winter at temperatures of 40 below, or some times colder.
This is not BS, or exaggerated, I saw it and I know it.
Every hunter, including all the trappers, knew that in the fall they had to thoroughly clean the action of their rifle in kerosene, so as to remove all traces of oil from and around the firing pin, spring and other related components. With this precaution, their rifle never failed to fire and kill a moose or elk,the same as it would at any other time of the year.
Did they have magnum primers? What a joke. The ammunition was CIL Dominion. The same standard ammunition they used year around.
From all my observation of what it was like, before someone got the brain wave to make primers called magnums, I think it matters not one wit, what type of primer is used, magnum or standard, any time of the year.
My own experience has born this out, also. I have shot in minus 30, at least, temperaures, and neveer had any failures, or hesitation, from using standard primers to ignite heavy charges of H4831 powder.