Those part numbers are universal to the #55/56 and don't identify the type l, ll, or lll unit.
Type 1, and ll fit the D5 and D6C, Type lll fit D5, D5B, D6C, D6D.
You have to get into the internals to tell the difference like different input shafts and inner bearing cage for the input clutch shaft, etc.
To many combinations to sort through. I'd suggest you check ebay for a parts book for the #55/56 winch.
Have you determined whether it's a power shift or direct drive unit?
Power shift initial input speed reduction gearing is 72/71 tooth.
Direct Drive initial input speed reduction gearing is 63/80 tooth.
The short stub shaft shown on the inner end of the input clutch does indicate it to be a Type lll.
Your s/n tag went away when someone cut away portions of the wrap around mounting frame.