This so called natural self-regulation will be ugly and painful. I don't envy the generation that will have to go through it.
Natural self-regulation means hitting resource limits, followed by sudden and drastic mass dying off, through wars and starvation.
(It's just a shame that renewables and other tech (plus the required behaviour changes) are coming in to maturity a couple of decades too late. Surely we just need to bridge the gap between demographic changes and adoption of cleaner tech. I might be overly optimistic on this front)
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.
I believe this is a very dangerous misconception. In our globalized interconnected world nobody will be spared. "We" might suffer a little less then other parts of the world, but effect on "us" will still be huge.