Not only is the 44 a better shooter with at least 454 balls, if not 457 (forget the 451), the 36 shoots better with .380 ball, sometimes, the usual 375 balls won't stay seated in the cylinder.
Use lots of Bore Butter over the ball, even if you use a Wonder Wad under, it will keep the fouling down, and reduce leading. Usually the black powder fouling and lube prevents the kind of leading you see with smokeless cartridge guns.