I think that’s an over generalization. The La Brea tarpit types were extinguished due to climate change. It’s also postulated mammoths and such were also affected by climate change, food availability and hunting. None the less, before humans came on the scene large animals came and went.
Of course if they had survived to even antiquity, yes, we’d probably have hunted them to extinction.
Of course if they had survived to even antiquity, yes, we’d probably have hunted them to extinction.