These people can still declare bankruptcy. They still have assets, so I'd say it's nothing like debt slavery.
Even after the BK "reform", the US still has a generous bankruptcy system compared to the EU.
Here's what to do if you're caught in that: decide to declare bankruptcy, then figure out a way to establish a six month period with your income below your state's average. Quit your job, stop paying yourself a salary from your company, whatever. If you've got to feed a family, make a mortgage, pay for your kids college tuition and otherwise support an above state average lifestyle for people you love... I don't know. Consult a good bankruptcy lawyer, and if they don't have a solution for you, ask them directly for a recommendation of a lawyer who will help you to beat this system.