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Following that logic, players should have the same heroes in the tavern with the same skill tree, otherwise, it's not normal. In the "who gets the hero first" lottery, the winner is usually the one with more money and time, which doesn't make this situation very random.
And what's the point of introducing such a rule during the tournament, considering that it's not clearly defined and can lead to many controversial situations? Besides, all the participants who have commented here are clearly against it.
The point of introducing it during the tournament is that a loophole in the rules was discovered, which shouldn't exist, and which has already led to unfortunate consequences.
Those who oppose it are doing so more out of a desire to oppose, rather than out of a deep conviction about the necessity of "digging" for heroes.