I'm not here to defend the ultra-wealthy but what you're saying doesn't pass the sniff test. Aviation accounts for just 12% of global CO2 emissions and households account for 21%. Obviously, a very small percentage of that could be attributed to the ultra-wealthy flying around in private jets and owning multiple mansions.
On the other hand, a reasonable argument against the wealthy elite would be that they are likely to have the most significant influence on preempting policy that could help deal with climate change. They would have the most vested interest in maintaining the status quo, due to their positions at the head of industry, and their children would suffer the fewest consequences of unmitigated climate change.
But then again, there is also a significant number of voters, at least here in the United States, who aren't going to get behind any policy that may cost jobs and increase energy prices in the immediate term. And then there's China, putting out 27% of total global carbon emissions.
So as convenient as it would be to just blame the rich, climate change is simply too broad an issue to put on the shoulders of any one group or entity, even China.