Depends on their complaint. If they're bitching about material loss and they're billionaires, well, boo motherfucking hoo. You lose a car/house/boat ect. you can buy a new one. Even if there was sentimental value attached to the property, at least you can just pick up another. It won't be the same, but you'll still have a car. If I lost my car, I'd be utterly fucked most likely.
On the other hand, personal tragedy is not assuaged by a mountain of money. As of right now, no amount of money will bring someone back from the dead. Even something less than that, something like a loss of limb or freedom of movement are legitimate things to sympathize with regardless of the amount of money involved. Well, until medical technology makes better artificial replacements.
As such, I really couldn't feel bad for rich people in Deus Ex unless someone they loved died. Who cares if you lose an arm? You can just get a new one!
Finally, the stresses they might have to endure are the price paid for their comfort of life, their security, and the vast fortune their kids will most likely receive. Particularly for billionaires. If your job is causing you to get ulcers and have high blood pressure, just fucking leave. It's not like you don't have enough money to last you the rest of your life even if you decided every surface you touched must be gold plated.