WI we never domesticated ANY animals whatsoever.

False. You're utiziling examples of deforestation centered grain based agricultural systems in Eurasia.

Agrarian societies worldwide, actually, tend to have a track record of competing for and eventually extirpating the local wildlife. It's not just Eurasia. Your agriculture gets expansive enough, it'll cover all the good farmland. Megafauna would do well to keep out of those places.
 
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