Poor people are responsible for way less in terms of carbon.

Not really in my experience. I live in a country that buys old cars from the rich. We have many "ohh, my lungs" cars here.

The same with appliances. People are too poor to buy A+++ electronics.

If you meant poor enough so I go hunting... then yes.

Here's some data:

https://ourworldindata.org/co2-by-income-region

I'm sure there is some nuance there, but by and large, wealthier people produce more CO2.

Certainly. Wealthier people may be more likely than the poor to drive Teslas instead of smoke-belching old bangers, but they also tend to fly more, heat and air-condition their huge houses, use many more gadgets and appliances that generate CO2 during both manufacture and use, etc.

Depends on your poorness. Poor in India or Africa live extremely efficiently.