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In general, I think it's time to clarify things; you can't hide a needle in a haystack. The Oracle calculates the current skill trees for all heroes on the map, including those of opponents, and even after they gain new skills. It works in online mode. I'm not sure, but I think it's possible to calculate the skill progression of an opponent's heroes; you can definitely catch the desired skill, avoid unnecessary ones, time wisdom for Pandora, and so on.
The Oracle doesn't work in online mode. Although, maybe I just don't know everything. It doesn't work for me.