The .32/20 dates from black powder days with brass strength to match. The hornet, .25/20 etc. are of similar vintage. Now the .256 was based on the .357 I believe. .22 Jet too, I believe. Much stronger "head" of the case. O.K. I have a theory that the taper in black powder cartridges was to help with extraction since the pressure was pretty low anyway and cases were all copper, pressure limited by the black powder and all the corrosives just might leave pits in the chamber.... I knew a gunsmith who inherited a Win 73... He told me that reloading was a pain, 'cause the headspace was not tight anyway and the thin brass tended to collapse at the shoulder... With the .25/20 and .218 Bee, if you straighten out the sides and sharp the shoulder, you get something. With the .32 (.308 or .310 bore) you just don't gain anything like as much. I am sure someone has done it and was enough disappointed that they didn't get alot of business doing it again. Same story with the Hornet family. Mr. Ackley reports a .270 Hornet... looks like a little .45/70 almost, but pointed bullet...
As suggested, if I were going to start a project, I would start with a more modern case, .38 Special anyway, for the additional strength. But, yes, you could gain all the Ackley promises, less back thrust, less case lengthening, (the improved performance was "gravy on the taters)... if you wish and don't mind the expense. luck.