Don't confuse Magnum SPP with Small Rifle Primers (std or mag). Rifle primers usually have a thicker cup due to higher pressure in rifle cartridges.
Start low and work up - looks like you are doing that. You should be good to go.
I think I saw somewhere that if loading pistol you are ok going to a rifle cartridge, but rifle using a pistol is a non starter, because as you stated the pressure and the thicker material. Not sure if any of it is accurate or not.
I can tell you what my general rule of thumb is for it, largely induced by this current shortage deal.
Me rifles get rifle primers, and pistol gets pistol primers....and I am leaving flat stupid things out, like the 50bmg hand gun stupidity.....one thing is different.
My 45-70 is a springfield trapdoor, loads for thins thing are to stay under 18k, the load I am currently using is around 14k. This is well under magnum pistol pressures so I have been using mag pistol primers for a little over a year, with the shortages there has not been as much shooting until lately, so I am guessing around 200 rounds in the last two years with no problem, I have seen nothing indicating any kind of primer issue, FPS numbers are the same over the large rifle primers I had been using before the stupid, and the bullet and powder are the same. For me the load had a pressure listed and I checked that number with quick load, and we are in the same ballpark so I figured green light. Primers look fine, so sign of trying to leave the case or any signs of pressure....doubted there would be, 44mag pressures are much higher than 14k.
Not saying do anything I talked about here, just saying what I did.