Actually, there is nothing prohibiting other players from using Objects of power and that's what the Resonance stat is intended for! Although your point still stands in the sense that I didn't really elaborate on how you would go about finding them, since I just kind of assumed the GM would try to imitate the game and let players find them by chance or by following clues they laid out. A while ago I started working on some roll tables for constructing random maps and dropping random items, including OOPs, maybe I'll try to find the time to wrap them up sometime in the near future.
Thanks for checking it out!