H110 is a great powder for 500S&W if you want full power loads. It's a powder which is rather tough to get to burn well. So Magnum primers are often suggested as being better because the hotter burn and slightly higher pressure from the Magnum primer gets the H110 burning better and more completely.
The test would be in trying some of each and run them over a chrono. Either will work but I'm thinking that it's likely that the Magnum primers will produce more consistent muzzle velocities.
Large rifle is being suggested by some current reloading data because the pressure from the H110 tends to really mushroom pistol Magnum primers. When I shot some 500 for a couple of years from a TC Encore I only used Magnum pistol primers. But the cups were pretty much form fitted to the primer pockets and flush with the rear face of the casing as well as having really sharply defined firing pin divots. I never saw any burst primers or flow back into the firing pin hole though. And since it was a single shot rifle I lived with these results. But technically most folks would consider this extreme a result to be signs of over pressure.