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I used loose tolerances, so everything should work with slightly different hardware. Are 3.175mm aluminum rods readily available in your country? If so, it would be the same as using the 1/8" stock. Also, using the #8 screws should be fine as well.
If you have metal parts that are a bit too large, you can always ream out the 3d printed plastic, or carve small portions off. When I first printed this version of the ring box design, I found that it would work even if it was missing one of the 8mm or 1/8" rods, or even without one of the bearings, so a domino effect sounds unlikely.
Also, thank you very much for providing a metric parts list!