To be honest, I've never fired a factory load of 45-70 ammo, it's all be reloaded ammo for me. I suppose that if you buy standard factory ammo (not Buffalo Bore) that you'll be OK. I don't think ammo manufacturers would sell ammo that might damage a firearm or injure a shooter. Imagine the liability!! The only ammo that I know of that is over the top and more than likely for much stronger firearms than trapdoor 45-70's would be Buffalo Bore ammo.
To be on the safe side, however, I'd look up the ammo specs and maybe call T/C and ask. The T/C people may tell you other than what I have. They're the ones with the liability on the line.....they'll give it to you straight.