Yeah but the people that will be dying won’t be the ones with the biggest carbon footprints. It’ll be climate migrants from underdeveloped areas or island nations.
A lot of it won't happen on its own though. While direct deaths from climate-related things (floods, fires, wet bulb events, whatever) will happen, you can bet your ass that there'll be a lot of murderizing too.
We could kill the people who are not only directly responsible for, but who are actively refusing to stop the climate collapse because they want to keep making money and lording over us all from their super yachts (after giving them the opportunity to surrender their wealth for redistribution and stop their exploitation of course, which they will refuse), and actually have a realistic chance of stopping it.