most handguns leave alot to be desired, its why i believe it took so long to get straight walled pistol cartridges put into lever guns.
The .44 Henry Flat was available in a rifle in 1866, it was available in the Colt SAA shortly after it was introduced. The .44-40 and .38-40 were available in a rifle and revolver at almost the same time, they barely have a shoulder. The top straight walled revolver round pre-1900 was the .45 Colt, it's tiny rim wouldn't work in a lever action.
I've killed deer with a .357 but pick my shots. I've more with a .45 Colt. The .357 is adequate the .45 is plenty. I killed one Fallow Buck with a .45 ACP, I won't again.