Historically magnum primers burn hotter than standard primers. Hotter being a relative term that could take in to account a more violent burn or hotter temp based on the compound. This all affects accuracy, pressure and velocity.
However, that can vary between manufacturers. I.E some standard primers may burn hotter than magnum primers. It's not cut and dried.
I don't see any information about the temperatures you expect to hunt at, what temperatures you will develop that load at.
As with good loading practice, when you change a component especially the primer, start low and work up. If you can, try both types of primers and see what you get.
If accessibility of primers is in consideration and you can choose only one or the other, based on my experience with ball powders in general, I would go with a magnum primer (given it's a ball powder) and as hunting season can take place in cold temps.