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Regarding the health bonus, there was quite a story behind it – in the fixed maps, everyone played as mages, so during the development of the expansion, Horn strengthened warriors and weakened mages. The health bonus was specifically designed for this purpose.
In random maps, however, the task is reversed – to strengthen mages and weaken warriors. Therefore, the health bonus can be removed, as it doesn't add much in terms of strategy. Heroes like Shahti, Galtran, or Taras will be perfectly fine without it, while other heroes will have a better chance of becoming powerful.