I honestly think that we are. The reduction might be extreme say 90 to 99%. But that still leaves 80 to 800 million humans living some sort of existence. Might not be same as now, but I am almost certain humans won't go extinct.
I guess that's why everyone is in a rush to develop AI, artificial wombs, genetic engineering, and robots but given the scale of the ecological damage I'm not sure what exactly the survivors are going to do with the entire mess.