No they don’t. Money isn’t something you can turn into zero carbon infrastructure at the snap of a finger.
We have a very large global population and carbon keeps it alive, and materially satisfied. Shut it off too fast, and people get dead and grumpy. Shut it off too slow, and our civilization collapses.
We’re all part of the system, and the system is the problem. I think the best thing oligarchs could do is buy politicians to change the system to incentivize replacing carbon in a way that doesn’t make people dead or grumpy. Grumpy people vote out politicians with long term views for those who offer short term solutions.