Probably if you up the powder charge, or switch to 296/H110 and in either case, fill the case till you get slight compression, accuracy will tighten, if the Lyman bullet is a reasonably strong design and is large enough to fill the barrel. The lube will keep the bore shiney at speeds to 3000 fps in good barrels, but with that ctg max velocity will be only perhaps 2400 fps.
The 32-20 was classed as a varmint and big game rifle cartridge when it came out capable of taking deer at extreme ranges! It was run pretty hot for it's size and can be run a lot faster now, but brass will stretch to fill the headspace, whatever that happens to be with your rifle, and do it with every shot if pressures are high enough. That spells short case life, with breakage in as few as 4 reloads. I shortened headspace in my 32-20 till the action will just close and cases last forever with hot loads. Most modern reloaders will probably be happiest with case life if a load is worked up that doesn't stretch the brass, and use this load for most of their shooting. But everyone with one of these rifles should try it with stout loads and live with short case lfe, just to get the supprise of seeing the potential of this tiny cartridge with it's mild report.