I'm a "traditional" muzzleloader, either percussion or flintlock, but my guns are similar to what was available before 1860. I wouldn't touch an inline if your life depended on it. But, I digress.
I shoot real black powder with a cast lead round ball. In my .50 I use a .490 patched round ball that weighs about 176 grains. With a charge of 70 grains of 3F I put one of those balls through a 6pt. buck this past season. The buck was angled away from me. The ball entered behind its last rib, ranged up through the length of the deer's body, and finally lodged under the hide in its throat. It was about a 50 yard shot. That was the first round ball that I have ever recovered from one of my shot deer. All the others went completely through.
My .62 smoothbore throws a .60 round ball that weighs about 320 grains, also with a charge of 70 grains of 3F. I have only taken one doe with this gun but that .60 round ball knocked her flat just like a 20 ga. slug would do. That was close, though, only about 20 yards.
I believe in getting as close as possible to the game. I won't take a shot beyond 75 yards.