The loaders don't load nuclear fuel to furnaces. They work for rocket fuel but not Nuclear Fuel. The loader storage chest which unloads fuel is empty. The loaders just don't connect to furnaces.
I don't know if it's related, but I have Burner Fuel Bonus, which changes crafting speed depending on the fuel's quality. From what I see, it replaces furnaces and burner inserts with different entities, which might be the root of this problem, but if this was a mod conflict, the loaders wouldn't work at all. Also, when they run out of fuel they revert to their vanilla stats.