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The FAQ states that composite artifacts cannot be generated on random maps – neither in objects nor on the map itself. However, it doesn't mention whether this also applies to the Armageddon's Blade and the Dragon Blood Vial (in the SOD version).
In my opinion, the FAQ should have a seventh section dedicated to the random map generator.
But some things can be specified in the next update – for example, in the "Objects" section, it could be indicated next to some objects that they are not generated on random maps (conditions for generating some objects are already indicated).