I think you'll find the .36 Navy a bit more accurate than the 1860 Army .44. Depending on your componants it may or may not be more acurate than the Remington 1858. When Colt and Root designed the 1860 Army using the Navy .36 frame they recognized that they had taken the 1860 to the limits of that design. The heavier .44 slug and loads of up to 37 grains of powder, causes more stress on the barrel wedge, and wedge mortise. This results in more barrel-frame flexing during firing. It also batters the wedge and cylinder pin. None of this contributes to accuracy.
The .36 Navy Colt is well balanced, has a long sight radius, and is sufficiently sturdy with the .375 round ball and maximum load of 27 grains of black powder. Uberti is the best of the bunch as far as Italian repro cap & ball pistols.