I know almost nothing about the late 50's trucks, but will assume

y-block carburetor, intake and distributor parts in the cars and light trucks are similar for the years '55, '56 & '57.
I hope someone with more knowledge corrects me or adds more information.
Ford made some changes to the carburetors, intake manifolds and distributors in '55, '56 & '57 that are *one-year-only* specific. If they are mixed with others from different years they most often will not operate correctly.
A mechanical & vacuum advance substitute for your loadomatic distributor could come from a y-block '57 to '62 Ford car, or a y-block '57 to '64 truck (F100/F250).
BUT, the vacuum pressure from your '56 carburetor fitting for the loadomatic distributor timing may not be the correct pressure to properly operate the vacuum chamber on a newer distributor.
Your '56 intake manifold may have a different (3 bolt) carburetor bolt pattern than most '57 and newer carburetors (4 bolt) and may require an adapter to install the newer carburetors, or changing to a '57/'64 intake manifold.
You could, find/purchase an after-market (non-Ford) *mechanical advance only* distributor.
The loadomatic distributors are adequate for most needs if they are functioning correctly. They are subject to wear like any other part and because they are *vacuum only* the timing advance will not function at all if the diaphragm is damaged, 99.9% certain in a 60 yr old part.
The diaphragm chamber is easily replaceable if you can locate the part. In addition, the entire distributor can most likely be rebuilt to 'as new' condition. See this link below for some rebuilding sources...
https://www.hemmings.com/classified...ar_max=&categoryFacet=&country=&q=distributor
I copied and added your previous two photos below, for others to see.
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