There is no doubt that the rich will lose more wealth in the face of an economic crisis. For the rich, they may face bankruptcy or reduce their quality of life. But these people often control their own industries or companies. Compared to them, the unemployed poor are even more miserable.
In fact, for most people, owning their own lives is more joyful than assuming wealth.
They would lose a lot of money comparatively speaking, but their life would not change. If Jeff Bezos loses 50% of his networth overnight, that would still not be something huge for him, it would basically be the same life he is living right now and nothing would change for him.
This is why they are not really caring about how risky their moves are, all those wall street bankers are making insane moves that are super risky not only because they know that it could make them money, but they also know that if they are wrong then their regular life would not be impacted. They would still live in a great house, they would still have staff in their houses, they would still be able to send their kids to best colleges, and so forth basically living however they are living right now. That is why they would lose more wealth then we do, but their wealth is so vast that even after losing it, they would not be really doing anything bad.