Baby production is the greater key, as noted with his promoting the solutions of Mechai Viravaidya, who helped bring Thailand's birth rate from around 6 or 7 to below 2 children per woman using methods the opposite of the One Child or eugenics policies: voluntary, non-coercive, educating, and fun.
https://www.gatesnotes.com/Energy/Buildings-are-good-for-peo...
Mabye some women don't want to work out of the home. Do women seem happier here than before? (Though the option should be available to them).
But seriously - an increase in living standards can go hand in hand with carbon reduction. It’s a matter of proper tech and policies.
I would love to see evidence of this supposition.
You're forgetting that population growth in the developing world is what drives immigration and leads to more of those very-high-carbon-footprints. The birth rate in the 1st world is stagnant. Our growth is due to immigration. Eliminating global poverty and allowing universal access to contraceptives would effectively kill the problem.
For example, use growth inhibitors to keep people stunted at, say, one meter in height. If applied to every baby today, would eliminate the need for billions of tons of carbon emissions, meat consumption, cultivated land, etc., after about 15-20 years.