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"Regarding the 'proof' about heroes. The other day, I saw a discussion on the ХВ forum where some users were talking about modifying the probabilities of desired heroes appearing in the tavern. And they hinted that it was impossible to verify. I can't say anything about the heroes themselves, but you can fight against cheating by modifying skills (so that only the desired skills appear), although it is difficult. To do this, after the game, you can load the save, give the hero experience, and see what skills will be offered. If the opponent has acquired other skills, then he has a modified table of skill drop probabilities."
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posts 566-570. But in this case, everything related to playing offline was discussed. Naturally, a person who doesn't know the question won't understand... Even I am sometimes scared by such creations :D