You're both right. The stuff that the rich do is a lot worse per person, but most emissions don't come from people who are rich by first world standards.

E.g. in Germany poorest 99% of the country are still responsible for about 91% of the emissions, the poorest 90% for 71% and the the poorest 50% for 27% Link in German.

So yeah, the carbon emissions are a great argument to increase taxes on the rich, but that doesn't change that everyone will have to make some changes with their way of life if we want to avoid a climate catastrophe.