The problem is that when it comes to emissions and the resulting climate change, it won't be a smooth self-correction but rather sharp and catastrophic. I believe we've already reached the point of no return and the greenhouse effect is out of control (north pole ice not recovering, permafrost melting, etc).
We'll see drastic climate change happening everywhere. It'll probably have little effect on "us" in the west; probably limited to local tragedies because of extreme weather and a price increase in food. But elsewhere it'll cause famine, mass death, and mass migration.
Sure if you zoom out enough, humanity will manage and survive just fine. But at what cost? You can try to be utilitarian about it, but you shouldn't shrug at the prospect of millions dying and getting displaced.